Home
Class 12
MATHS
The function y=f(x) is the solution of t...

The function `y=f(x)` is the solution of the differential equation
`(dy)/(dx)+(xy)/(x^(2)-1)=(x^(4)+2x)/(sqrt(1-x^(2)))`
in (-1, 1) satisfying `f(0)=0`.
Then `underset((-sqrt(3))/(2))overset((sqrt(3))/(2))intf(x)dx` is

A

`(pi)/(3)-(sqrt(3))/(2)`

B

`(pi)/(3)-(sqrt(3))/(4)`

C

`(pi)/(6)-(sqrt(3))/(4)`

D

`(pi)/(6)-(sqrt(3))/(2)`

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

The function y=f(x) is the solution of the differential equation (dy)/(dx)+(x y)/(x^2-1)=(x^4+2x)/(sqrt(1-x^2)) in (-1,1) satisfying f(0)=0. Then int_((sqrt(3))/2)^((sqrt(3))/2)f(x)dx is

The solution of the differential equation (x^2y^2-1)dy+2xy^3dx=0 is

The solution of the differential equation x(x^2+1)((dy)/(dx))=y(1-x^2)+x^3logx is

A solution of the differential equation (x^(2) y^(2) - 1) dy + 2xy ^(3) dx = 0 is-

The solution of differential equation (2y+x y^3)dx+(x+x^2y^2)dy=0 is

The general solution of the differential equation (2x-y+1)dx+(2y-x+1)dy=0 is -

Find the general solution of the differential equation (dy)/(dx) + sqrt((1 - y^(2))/(1 - x^(2))) = 0 .

Solve the following differential equations : dy/dx+sqrt((1-y^2)/(1-x^2))=0

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

The solution of the differential equation x=1+x y(dy)/(dx)+(x^2y^2)/(2!)((dy)/dx)^2+(x^3y^3)/(3!)((dy)/(dx))^3+... i s