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- 6. Ordinary &Partial Differential Equation Introduction of Differential Equation Homogeneous Differential Equation Application of Differential Equation Linear Differential Equation CONTENTS Classification of Differential Equation
- 7. Differential Equation An equationwich involves unknown function of one several that relates the value of the function itself and its derivatives of various orders
- 8. Classification of DifferentialEquation
- 9. Homogeneous Differential Equation Afirst Differential Equation is Homogeneous when it can be in this from 𝑑𝑦 𝑑𝑥 = F( 𝑦 𝑥 ) We can solve it using separation of variables but first we create a new variable V = 𝑌 𝑋 v = 𝑌 𝑋 𝑖𝑠 𝑎𝑙𝑠𝑜 𝑢𝑠𝑒 𝑎𝑠 𝑦 = 𝑣𝑥 𝑑𝑦 𝑑𝑥 = 𝑑(𝑉𝑋) 𝑑𝑥 = 𝑉 𝑑𝑋 𝑑𝑥 +X 𝑑𝑉 𝑑𝑥 so we can solve Differential Equation u 𝑠𝑖𝑛𝑔 𝑌 = 𝑉𝑋 𝑎𝑛𝑑 𝑑𝑦 𝑑𝑥 =V+X 𝑑𝑣 𝑑𝑥
- 10. Ordinary differential equation Ode 𝑑2 𝑦 𝑑𝑥2+7 𝑑𝑦 𝑑𝑥 −𝑦 = 10 Partial differential equation Pde 𝜕 2 𝑦 𝜕𝑥2 +7 𝜕𝑦 𝜕𝑥 − 𝑦 = 10
- 11. Linear Differential Equation ADifferential Equation of the from – p,q always x or constant function 𝑑𝑦 𝑑𝑥 +py =Q Where P and Q be the functions of x or constant Example : 𝑑2 𝑦 𝑑𝑥2 +3 𝑑𝑦 𝑑𝑥 +9y-0
- 12. Is there anyside that Have The actuall use of DIFFerential equation in real life???? Why we need to learn differential equ ?????
- 13. Application of DifferentialEquation Creating softwares Creating Games, Aspects of Algorithms Bots , Networking Mother nature Artificial Intelligence Theories & Explanations
- 14. SOFTWARE’S The use ofdifferential Equations to underrstand computer Hardware Belongs to Applied physics or Electrical Engineering
- 15. MOTHER NATURE Differential Equationis an esential tool for describe the nature of the physical univers
- 16. Conclusion Finnally we cansay differential equation is an essential part for both Engineer and non –enginner .the things we can see which is software based is made with differential equation. New software r program daily . And for that Differential Equation is Needed
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