n this tutorial, we study about Reducible to Variable Separable. If the given equation is not separable then using this method it can reduced to variable separable form then the solution can be obtained by separating the variable and at the end we have to put the value of original variables

1. 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

2. 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

3. 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

4. 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

5. 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

6. 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

7. Differential
equations:
Variable
Separable
Dr. Mehar
Chand
Definition
Variable
Separable
Examples
Video
Thank you
Dr. Mehar Chand Differential equations: Variable Separable