Home
Class 12
MATHS
(1-x^2) (dy)/(dx) - 2xy=x-x^3...

`(1-x^2) (dy)/(dx) - 2xy=x-x^3`

Text Solution

Verified by Experts

Given `(1-x^2)dy/dx-xy=1`
Dividing both sides by `1-x^2`,
`dy/dx-x/(1-x^2)y=1/(1-x^2)` which is linear differential equation
`IF=e^(intx/(1-x^2)dx`
...
Promotional Banner

Similar Questions

Explore conceptually related problems

(1-x^(2))(dy)/(dx)-xy=1

(1-x^(2))(dy)/(dx)-xy=1

(1-x^(2))(dy)/(dx)+xy=ax

Solve the differential equation : (1 - x^(2)) (dy)/(dx) - xy = x

(1-x^(2))(dy)/(dx)-xy=x^(2)

e^(-x^(2))(dy)/(dx)=2xy

The solution of (1-x^(2)) (dy)/(dx) + xy = xy^(2) is

The solution of (1-x^(2)) (dy)/(dx) + 2xy = x sqrt(1 -x^(2)) is

Solve: (1-x^2)(dy)/(dx)-xy=x

(dy)/(dx)+2xy=x^(3)