The differential equation for `y^(2)=(x+A)^(3)` is

Show that the differential equation (y^(2)-x^(2))dy=3xydx is homogenous and solve it

Form the differential equation for y=e^(2x)[A cos 3x-B sin 3x]

I.F. Of the differential equation dy/dx+2y=e^(3x) is :

The general solution of the differential equation (y^(2)-x^(3)) dx - xydy = 0(x ne 0) is: (where c is a constant of integration)

The solution of the differential equation y'(y^(2)-x)=y is a) y^(3)-3xy=C b) y^(3)+3xy=C c) x^(3)-3xy=C d) y^(3)-xy=C

If the solution of the differential equation y^(3)x^(2)cos(x^(3))dx+sin(x^(3))y^(2)dy=(x)/(3)dx is 2sin(x^(3))y^(k)=x^(2)+C (where C is an arbitrary constant), then the value of k is equal to

If the solution of the differential equation y^(3)x^(2)cos(x^(3))dx+sin(x^(3))y^(2)dy=(x)/(3)dx is 2sin(x^(3))y^(k)=x^(2)+C (where C is an arbitrary constant), then the value of k is equal to