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Differential
equations:
Variable
Separable
Dr. Mehar
Chand
Definition
Variable
Separable
Examples
Video
Tutorial-1: Ordinary Differential Equation
Differential equations:
Variable Separable
Dr. Mehar Chand
Department of Mathematics
Baba Farid College, Bathinda-151001
April 21, 2020
Dr. Mehar Chand Differential equations: Variable Separable
Differential
equations:
Variable
Separable
Dr. Mehar
Chand
Definition
Variable
Separable
Examples
Video
Contents
1 Definition
2 Variable Separable
3 Examples
4 Full video Lecture
Dr. Mehar Chand Differential equations: Variable Separable
Differential
equations:
Variable
Separable
Dr. Mehar
Chand
Definition
Variable
Separable
Examples
Video
Definition
Definition (Definition)
A general equation of first order and first degree is an
equation of the form
dx
dy
= f (x, y)
or
Mdx + Ndy = 0
where M and N may both functions of x and y.
Dr. Mehar Chand Differential equations: Variable Separable
Differential
equations:
Variable
Separable
Dr. Mehar
Chand
Definition
Variable
Separable
Examples
Video
Variable Separable
Art. (Variable Separable)
If it is possible to get all the functions of x and dx to one
side and all the functions of y and dy to the other, the
variables are said to be separable. Thus an equation in the
form
dy
dx
= XY
where X is a function of x and Y is an function y only, then
the equation after separating the variables can be written as
dy
Y
= Xdx
Dr. Mehar Chand Differential equations: Variable Separable
Differential
equations:
Variable
Separable
Dr. Mehar
Chand
Definition
Variable
Separable
Examples
Video
Examples
Example (Examples associated with variable separable)
Ex-1 Solve x2
(y + 1).
dx
dy
+ y2
(x + 1)2
= 0
Ex-2 Solve tan y.
dx
dy
= sin(x + y) + sin(x − y)
Ex-3 Solve y − x.
dx
dy
= a y2
+
dx
dy
Ex-4 Solve
dx
dy
=
x.ex . log x + ex
x. cos y
Dr. Mehar Chand Differential equations: Variable Separable
Differential
equations:
Variable
Separable
Dr. Mehar
Chand
Definition
Variable
Separable
Examples
Video
Full video Lecture
To see full video lecture visit the below link
https://youtu.be/CHpwlXleH0E
Dr. Mehar Chand Differential equations: Variable Separable
Differential
equations:
Variable
Separable
Dr. Mehar
Chand
Definition
Variable
Separable
Examples
Video
Thank you
Dr. Mehar Chand Differential equations: Variable Separable

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Tutorial 1: Differential equations: Variable Separable