SlideShare a Scribd company logo
WHAT IS DIFFERENTIAL EQUATION?
An equation contain the derivatives of one or more
dependent variables, with respect to one of more
independent variables, said to be differential equation
WHAT IS FIRST ORDER DIFFERETIAL EQUATION?
An equation of 1st degree only in respect to
the dependent variables and its derivatives
Separable
variables
Homogenous
equation
Exact
equation
Integrating
factor
Linear
equation
Bernoulli
equation
AN CURVE CUTS ANOTHER CURVE AT RIGHT ANGLE THEN
TWO CURVES SAID TO BE ORTHONOGLY TO EACH OTHER
STEPS TO SLOVE ORTHOGONAL TRAJECTORIES OF THE
FAMILY OF CURVES F(x, y, c) = 0 or F(r, ø, c) = 0
SOLVE DIFFERENTIAL EQUATION OF THE ORTHOGONAL
TRAJECTORIES F(x, y, dy/dx) or F(r, ø, dr/dø)
REPLAYES THIS DIFFERENTIAL EQUATION dy/dx BY –dx/dy
or dr/dø = -r2 dø/dr ( so product of slope at each point is -1)
FORM DIFFERENTIAL EQUATION IN FORM F(x, y, dy/dx) = 0
or F(r, ø, dr/dø) = 0
Example : If stream lines of a flow around a corner are x y =
constant find their orthogonal trajectories
As by steps
Differential equation of curve is x . dy/dx + y = 0
Replays dy/dx by -dx/dy
Finally we get x . dx – y dy = 0
Therefore X2 - Y2 = c2 is required orthogonal trajectories
dx/dt
NEWTON’S SECOND LAW
THE RATE OF CHANGE IN MOMENTUM ENCOUNTERED
BY A MOVING OBJECT IS EQUAL TO THE NET FORCE
APPLIED TO IT. IN MATHEMATICAL TERMS,
Since m is constant
then dm/dt is
Kirchhoff's law , sum of voltage drop across R and L
= E
WHEN COMPARE TO
I.F
IS
MULITIPLING I.F BOTH
SIDES
When ‘t=0’ then ‘i=0’ we get c = - E/R
Ppt of first order differenatiol equation
Ppt of first order differenatiol equation

More Related Content

What's hot

Correlation & regression uwsb (3)
Correlation & regression   uwsb (3)Correlation & regression   uwsb (3)
Correlation & regression uwsb (3)Arnab Roy Chowdhury
 
Diapositivas matematica
Diapositivas matematicaDiapositivas matematica
Diapositivas matematica
KariannaBravo
 
2.1 the simple regression model
2.1 the simple regression model 2.1 the simple regression model
2.1 the simple regression model
Regmi Milan
 
Linear regression theory
Linear regression theoryLinear regression theory
Linear regression theory
Saurav Mukherjee
 
Displacement
DisplacementDisplacement
Displacement
alberto cataluna
 
Calculus II - 24
Calculus II - 24Calculus II - 24
Calculus II - 24
David Mao
 
Presentation on Regression Analysis
Presentation on Regression AnalysisPresentation on Regression Analysis
Presentation on Regression Analysis
Rekha Rani
 
Tbs910 regression models
Tbs910 regression modelsTbs910 regression models
Tbs910 regression models
Stephen Ong
 
Binomia ex 2
Binomia ex 2Binomia ex 2
Binomia ex 2
chener Qadr
 

What's hot (12)

Correlation & regression uwsb (3)
Correlation & regression   uwsb (3)Correlation & regression   uwsb (3)
Correlation & regression uwsb (3)
 
Diapositivas matematica
Diapositivas matematicaDiapositivas matematica
Diapositivas matematica
 
Regression Analysis
Regression AnalysisRegression Analysis
Regression Analysis
 
2.1 the simple regression model
2.1 the simple regression model 2.1 the simple regression model
2.1 the simple regression model
 
Calc 3.4
Calc 3.4Calc 3.4
Calc 3.4
 
Linear regression theory
Linear regression theoryLinear regression theory
Linear regression theory
 
Displacement
DisplacementDisplacement
Displacement
 
Calculus II - 24
Calculus II - 24Calculus II - 24
Calculus II - 24
 
Presentation on Regression Analysis
Presentation on Regression AnalysisPresentation on Regression Analysis
Presentation on Regression Analysis
 
Tbs910 regression models
Tbs910 regression modelsTbs910 regression models
Tbs910 regression models
 
Binomia ex 2
Binomia ex 2Binomia ex 2
Binomia ex 2
 
Abs regression
Abs regressionAbs regression
Abs regression
 

Viewers also liked

Torbomachinery zbj
Torbomachinery zbjTorbomachinery zbj
Torbomachinery zbj
Zuhair Bin Jawaid
 
Automobile 3rd sem aem ppt.2016
Automobile 3rd sem aem ppt.2016Automobile 3rd sem aem ppt.2016
Automobile 3rd sem aem ppt.2016
kalpeshvaghdodiya
 
Linear differential equation
Linear differential equationLinear differential equation
Linear differential equationPratik Sudra
 
Differential equations
Differential equationsDifferential equations
Differential equationsCharan Kumar
 
1st order differential equations
1st order differential equations1st order differential equations
1st order differential equations
Nisarg Amin
 
Linear differential equation with constant coefficient
Linear differential equation with constant coefficientLinear differential equation with constant coefficient
Linear differential equation with constant coefficientSanjay Singh
 
APPLICATION OF PARTIAL DIFFERENTIATION
APPLICATION OF PARTIAL DIFFERENTIATIONAPPLICATION OF PARTIAL DIFFERENTIATION
APPLICATION OF PARTIAL DIFFERENTIATION
Dhrupal Patel
 
Ordinary differential equations
Ordinary differential equationsOrdinary differential equations
Ordinary differential equationsAhmed Haider
 
APPLICATIONS OF DIFFERENTIAL EQUATIONS-ZBJ
APPLICATIONS OF DIFFERENTIAL EQUATIONS-ZBJAPPLICATIONS OF DIFFERENTIAL EQUATIONS-ZBJ
APPLICATIONS OF DIFFERENTIAL EQUATIONS-ZBJ
Zuhair Bin Jawaid
 
Differential equations
Differential equationsDifferential equations
Differential equations
Muhammad Ali Bhalli Zada
 
Ode powerpoint presentation1
Ode powerpoint presentation1Ode powerpoint presentation1
Ode powerpoint presentation1Pokkarn Narkhede
 
02 first order differential equations
02 first order differential equations02 first order differential equations
02 first order differential equations
vansi007
 
Applications of Differential Equations of First order and First Degree
Applications of Differential Equations of First order and First DegreeApplications of Differential Equations of First order and First Degree
Applications of Differential Equations of First order and First Degree
Dheirya Joshi
 

Viewers also liked (15)

Torbomachinery zbj
Torbomachinery zbjTorbomachinery zbj
Torbomachinery zbj
 
Bab 2
Bab 2Bab 2
Bab 2
 
Automobile 3rd sem aem ppt.2016
Automobile 3rd sem aem ppt.2016Automobile 3rd sem aem ppt.2016
Automobile 3rd sem aem ppt.2016
 
emi
emiemi
emi
 
Linear differential equation
Linear differential equationLinear differential equation
Linear differential equation
 
Differential equations
Differential equationsDifferential equations
Differential equations
 
1st order differential equations
1st order differential equations1st order differential equations
1st order differential equations
 
Linear differential equation with constant coefficient
Linear differential equation with constant coefficientLinear differential equation with constant coefficient
Linear differential equation with constant coefficient
 
APPLICATION OF PARTIAL DIFFERENTIATION
APPLICATION OF PARTIAL DIFFERENTIATIONAPPLICATION OF PARTIAL DIFFERENTIATION
APPLICATION OF PARTIAL DIFFERENTIATION
 
Ordinary differential equations
Ordinary differential equationsOrdinary differential equations
Ordinary differential equations
 
APPLICATIONS OF DIFFERENTIAL EQUATIONS-ZBJ
APPLICATIONS OF DIFFERENTIAL EQUATIONS-ZBJAPPLICATIONS OF DIFFERENTIAL EQUATIONS-ZBJ
APPLICATIONS OF DIFFERENTIAL EQUATIONS-ZBJ
 
Differential equations
Differential equationsDifferential equations
Differential equations
 
Ode powerpoint presentation1
Ode powerpoint presentation1Ode powerpoint presentation1
Ode powerpoint presentation1
 
02 first order differential equations
02 first order differential equations02 first order differential equations
02 first order differential equations
 
Applications of Differential Equations of First order and First Degree
Applications of Differential Equations of First order and First DegreeApplications of Differential Equations of First order and First Degree
Applications of Differential Equations of First order and First Degree
 

Similar to Ppt of first order differenatiol equation

Derivation Bisics
Derivation BisicsDerivation Bisics
Derivation Bisics
AleenaAnayat1
 
Maths differential equation ppt
Maths differential equation pptMaths differential equation ppt
Maths differential equation ppt
justerjobs
 
Presentations Differential equation.pptx
Presentations Differential equation.pptxPresentations Differential equation.pptx
Presentations Differential equation.pptx
Atmanand007
 
Differential Equations
Differential EquationsDifferential Equations
Differential Equations
AmritanshManthapurwa1
 
First Order Ordinary Differential Equations FAHAD SHAHID.pptx
First Order Ordinary Differential Equations FAHAD SHAHID.pptxFirst Order Ordinary Differential Equations FAHAD SHAHID.pptx
First Order Ordinary Differential Equations FAHAD SHAHID.pptx
FahadShahid21
 
ODE & Vector Calculus .pptx
ODE & Vector Calculus .pptxODE & Vector Calculus .pptx
ODE & Vector Calculus .pptx
NaniNani208230
 
Dericavion e integracion de funciones
Dericavion e integracion de funcionesDericavion e integracion de funciones
Dericavion e integracion de funciones
diegoalejandroalgara
 
Differential equations
Differential equationsDifferential equations
Differential equations
AMINULISLAM439
 
11Functions-in-several-variables-and-double-integrals.pdf
11Functions-in-several-variables-and-double-integrals.pdf11Functions-in-several-variables-and-double-integrals.pdf
11Functions-in-several-variables-and-double-integrals.pdf
CristianBatongbakal
 
Ma 104 differential equations
Ma 104 differential equationsMa 104 differential equations
Ma 104 differential equations
arvindpt1
 
Differential equations
Differential equationsDifferential equations
Differential equations
Uzair Saiyed
 
Differential equations
Differential equationsDifferential equations
Differential equations
Seyid Kadher
 
Reviewer-in-Basic-Calculus.pptx
Reviewer-in-Basic-Calculus.pptxReviewer-in-Basic-Calculus.pptx
Reviewer-in-Basic-Calculus.pptx
GerardJohnNaceno1
 
Physics101 Learning object
Physics101 Learning objectPhysics101 Learning object
Physics101 Learning object
CurryJam
 
Differential Equation
Differential EquationDifferential Equation
Differential Equation
Taiyaba Hossain
 
DIFFERENTIAL EQUATION Lecture #1
DIFFERENTIAL EQUATION  Lecture #1DIFFERENTIAL EQUATION  Lecture #1
DIFFERENTIAL EQUATION Lecture #1
Gaditek
 
Differential Equations
Differential EquationsDifferential Equations
Differential Equations
KrupaSuthar3
 
Correlation and Regression
Correlation and RegressionCorrelation and Regression
Correlation and RegressionShubham Mehta
 
Indefinite Integral
Indefinite IntegralIndefinite Integral
Indefinite Integral
Rich Elle
 
honey jose presentation
honey jose presentationhoney jose presentation
honey jose presentationHoney jose
 

Similar to Ppt of first order differenatiol equation (20)

Derivation Bisics
Derivation BisicsDerivation Bisics
Derivation Bisics
 
Maths differential equation ppt
Maths differential equation pptMaths differential equation ppt
Maths differential equation ppt
 
Presentations Differential equation.pptx
Presentations Differential equation.pptxPresentations Differential equation.pptx
Presentations Differential equation.pptx
 
Differential Equations
Differential EquationsDifferential Equations
Differential Equations
 
First Order Ordinary Differential Equations FAHAD SHAHID.pptx
First Order Ordinary Differential Equations FAHAD SHAHID.pptxFirst Order Ordinary Differential Equations FAHAD SHAHID.pptx
First Order Ordinary Differential Equations FAHAD SHAHID.pptx
 
ODE & Vector Calculus .pptx
ODE & Vector Calculus .pptxODE & Vector Calculus .pptx
ODE & Vector Calculus .pptx
 
Dericavion e integracion de funciones
Dericavion e integracion de funcionesDericavion e integracion de funciones
Dericavion e integracion de funciones
 
Differential equations
Differential equationsDifferential equations
Differential equations
 
11Functions-in-several-variables-and-double-integrals.pdf
11Functions-in-several-variables-and-double-integrals.pdf11Functions-in-several-variables-and-double-integrals.pdf
11Functions-in-several-variables-and-double-integrals.pdf
 
Ma 104 differential equations
Ma 104 differential equationsMa 104 differential equations
Ma 104 differential equations
 
Differential equations
Differential equationsDifferential equations
Differential equations
 
Differential equations
Differential equationsDifferential equations
Differential equations
 
Reviewer-in-Basic-Calculus.pptx
Reviewer-in-Basic-Calculus.pptxReviewer-in-Basic-Calculus.pptx
Reviewer-in-Basic-Calculus.pptx
 
Physics101 Learning object
Physics101 Learning objectPhysics101 Learning object
Physics101 Learning object
 
Differential Equation
Differential EquationDifferential Equation
Differential Equation
 
DIFFERENTIAL EQUATION Lecture #1
DIFFERENTIAL EQUATION  Lecture #1DIFFERENTIAL EQUATION  Lecture #1
DIFFERENTIAL EQUATION Lecture #1
 
Differential Equations
Differential EquationsDifferential Equations
Differential Equations
 
Correlation and Regression
Correlation and RegressionCorrelation and Regression
Correlation and Regression
 
Indefinite Integral
Indefinite IntegralIndefinite Integral
Indefinite Integral
 
honey jose presentation
honey jose presentationhoney jose presentation
honey jose presentation
 

More from SUNODH GARLAPATI

Low power in vlsi with upf basics part 2
Low power in vlsi with upf basics part 2Low power in vlsi with upf basics part 2
Low power in vlsi with upf basics part 2
SUNODH GARLAPATI
 
Low power in vlsi with upf basics part 1
Low power in vlsi with upf basics part 1Low power in vlsi with upf basics part 1
Low power in vlsi with upf basics part 1
SUNODH GARLAPATI
 
Difference between PCI PCI-X PCIe
Difference between PCI PCI-X PCIeDifference between PCI PCI-X PCIe
Difference between PCI PCI-X PCIe
SUNODH GARLAPATI
 
AMBA AHB 5
AMBA AHB 5AMBA AHB 5
AMBA AHB 5
SUNODH GARLAPATI
 
I2C introduction
I2C introductionI2C introduction
I2C introduction
SUNODH GARLAPATI
 
SPI introduction(Serial Peripheral Interface)
SPI introduction(Serial Peripheral Interface)SPI introduction(Serial Peripheral Interface)
SPI introduction(Serial Peripheral Interface)
SUNODH GARLAPATI
 
Cyber threads and its types
Cyber threads and its typesCyber threads and its types
Cyber threads and its types
SUNODH GARLAPATI
 

More from SUNODH GARLAPATI (7)

Low power in vlsi with upf basics part 2
Low power in vlsi with upf basics part 2Low power in vlsi with upf basics part 2
Low power in vlsi with upf basics part 2
 
Low power in vlsi with upf basics part 1
Low power in vlsi with upf basics part 1Low power in vlsi with upf basics part 1
Low power in vlsi with upf basics part 1
 
Difference between PCI PCI-X PCIe
Difference between PCI PCI-X PCIeDifference between PCI PCI-X PCIe
Difference between PCI PCI-X PCIe
 
AMBA AHB 5
AMBA AHB 5AMBA AHB 5
AMBA AHB 5
 
I2C introduction
I2C introductionI2C introduction
I2C introduction
 
SPI introduction(Serial Peripheral Interface)
SPI introduction(Serial Peripheral Interface)SPI introduction(Serial Peripheral Interface)
SPI introduction(Serial Peripheral Interface)
 
Cyber threads and its types
Cyber threads and its typesCyber threads and its types
Cyber threads and its types
 

Ppt of first order differenatiol equation

  • 1.
  • 2. WHAT IS DIFFERENTIAL EQUATION? An equation contain the derivatives of one or more dependent variables, with respect to one of more independent variables, said to be differential equation WHAT IS FIRST ORDER DIFFERETIAL EQUATION? An equation of 1st degree only in respect to the dependent variables and its derivatives
  • 4.
  • 5. AN CURVE CUTS ANOTHER CURVE AT RIGHT ANGLE THEN TWO CURVES SAID TO BE ORTHONOGLY TO EACH OTHER
  • 6. STEPS TO SLOVE ORTHOGONAL TRAJECTORIES OF THE FAMILY OF CURVES F(x, y, c) = 0 or F(r, ø, c) = 0 SOLVE DIFFERENTIAL EQUATION OF THE ORTHOGONAL TRAJECTORIES F(x, y, dy/dx) or F(r, ø, dr/dø) REPLAYES THIS DIFFERENTIAL EQUATION dy/dx BY –dx/dy or dr/dø = -r2 dø/dr ( so product of slope at each point is -1) FORM DIFFERENTIAL EQUATION IN FORM F(x, y, dy/dx) = 0 or F(r, ø, dr/dø) = 0
  • 7. Example : If stream lines of a flow around a corner are x y = constant find their orthogonal trajectories As by steps Differential equation of curve is x . dy/dx + y = 0 Replays dy/dx by -dx/dy Finally we get x . dx – y dy = 0 Therefore X2 - Y2 = c2 is required orthogonal trajectories
  • 9. NEWTON’S SECOND LAW THE RATE OF CHANGE IN MOMENTUM ENCOUNTERED BY A MOVING OBJECT IS EQUAL TO THE NET FORCE APPLIED TO IT. IN MATHEMATICAL TERMS, Since m is constant then dm/dt is
  • 10. Kirchhoff's law , sum of voltage drop across R and L = E
  • 11. WHEN COMPARE TO I.F IS MULITIPLING I.F BOTH SIDES When ‘t=0’ then ‘i=0’ we get c = - E/R