The function y=f(x) is the solution ...

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

AI Generated Solution

Similar Questions

Explore conceptually related problems

Solution of differential equation (dy ) /( dx) +(x ) /( 1 - x^2) y= x sqrt(y) is

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

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

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

The solution of the differential equation x(dy)/(dx) + 2y = x^2 (X ne 0) with y(1) =1, is :

General solution of differential equation x^(2)(x+y(dy)/(dx))+(x(dy)/(dx)-y)sqrt(x^(2)+y^(2))=0 is

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

If y=f(x) satisfies the differential equation (dy)/(dx)+(2x)/(1+x^(2))y=(3x^(2))/(1+x^(2)) where f(1)=1 , then f(2) is equal to

Let y=f(x) be a solution of the differential equation (dy)/(dx)=(y^(2)-x^(2))/(2xy)(AA x, y gt 0) . If f(1)=2 , then f'(1) is equal to

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