`(dy)/(dx)+x^(2)=x^(2)e^(3x)`

Solve : (dy)/(dx)=e^(3x-2y)+x^(2)e^(-2y)

Solve the differential equation (dy)/(dx)=e^(2x-y)+x^(2)*e^(-y) .

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

x(dy)/(dx)+y=y^(2)x^(3)cos x

(1-x^(2))(dy)/(dx)-2xy=x-x^(3)

Solve: (dy)/(dx)=1/(sin^4x+cos^4x) (ii) (dy)/(dx)=(3e^(2x)+3e^(4x))/(e^x+e^(-x))

If y=xlog(x/(a+b x)),t h e nx^3(d^2y)/(dx^2)= (a) x(dy)/(dx)-y (b) (x(dy)/(dx)-y)^2 y(dy)/(dx)-x (d) (y(dy)/(dx)-x)^2

If (a+bx)e^(y/x)=x , Prove that x^3(d^2y)/(dx^2)=(x(dy)/(dx)-y)^2

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

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