Solution of the differential equation `cos xdy = y(sin x - y)dx,`

Solution of the differential equation cos x cos y dy -sin x sin y dx=0 is

The general solution of the differential equation xdy - ydx = y^(2)dx is

Verify that the function y=a cos x + b sin x is a solution of the differential equation cos x(dy)/(dx)+y sin x =b

Let y = y (x) be the solution of the differential equation xdy = (y + x^3 cos x)dx with y( pi ) = 0, then y ((pi)/(2)) is equal to

The solution of the differential equation cosy. cos x dx + sin x . Sin y dy = 0 is

Prove that,y=A cos x+sin x, is the solution of the differential equation cos x(dy)/(dx)+y sin x=1

Solution of the differential equation x sin xdy+xdx+[sin x cos x-y(x cos x+sin x]dx=0 is

Find the particular solution of the differential equation : (xdy - y dx) y sin((y)/(x)) = (y dx + x dy) x cos ((y)/(x)) , given that y = pi when x = 3.

The solution of the differential equation xdy + (x+y) dx=0 is