The differential equation `x(dy)/(dx)-y=x^2,` has the general solution
a. `y-x^3=2c x`
b. `2y-x^3=c x`
c. `2y+x^2=2c x`
d. `y-x^2=c x`

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

Which of the following differential equations has y=c_(1)e^(x)+c_(2)e^(-x) as the general solution ?

For the differential equation (x^2+y^2)dx-2xy dy=0 , which of the following are true. (A) solution is x^2+y^2=cx (B) x^2-y^2=cx (C) x^2-y^2=x+c (D) y(0)=0

The solution of the differential equation (dy)/(dx)=(3x^2y^4+2x y)/(x^2-2x^3y^3) is

The solution of the differential equation (dy)/(dx)-(y(x+1))/x=0 is given by a. y=x e^(x+C) b. x=y e^x c. y=x+C d. x y=e^x+C

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

Solution of the differential equation (dy)/(dx)+y/x=sinx is a. x(y+cosx)=sinx+C b. x(y-cosx)=sinx+C c. x(y+cosx)=cos x+C d. None of these

The solution of the differential equation (x^2+1)(dy)/(dx)+(y^2+1)=0 is a. y=2+x^2 b. y=(1+x)/(1-x) c. y=x(x-1) d. y=(1-x)/(1+x)

The general solution of the differentia equation (dy)/(dx)+ycotx = cos e c x , is (a). x+y \ sin\x=C (b). x+y cos\ x=C (c). y+x(sin x+cos x)=C (d). y \ sinx=x+C

Show that the differential equation of which y=2(x^2-1)+c e^-x^2 is a solution, is (dy)/(dx)+2x y=4x^3dot