Solve the equation: `(x+2)(dy)/(dx)=x^2+4x-9`

Solve the equation: (x+1)(dy)/(dx)=2xy

Solve the equation (1-x^(2))((dy)/(dx))+2xy=x sqrt(1-x^(2))

Solve the following differential equations: (x+2)(dy)/(dx)-x^(2)+4x-9,x!=-2(dy)/(dx)=sin^(3)x cos^(2)x+xe^(x)

Solve the equation (dy)/(dx)=(y)/(x)-(y^(2))/(x^(2))

Solve the differential equation (dy)/(dx)=x^2y+y

Solve the differential equation x (dy)/(dx) + 2y = x ^(2) log x

Find the general solution of the following : (x+2)(dy)/(dx)=x^(2)+4x-9 .

Solve the differential equation: (dy)/(dx)-(y)/(x)=2x^(2)

Solve the equation (dy)/(dx)+(1)/(x)=(e^(y))/(x^(2))

Solve the following differential equation: x(dy)/(dx)-y=x^2