Solve the differential equation`(d^2y)/dx^2-4dy/dx+y=0`

Reduce the differential equation (d^2y)/dx^2-2 dy/dx+y=xe^x using the transformation y=v(x).e^x . Hence solve the equation when y=1, dy/dx=0 , for x=0

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

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

Verify that the function y=e^(-3x) is a solution of the differential equation (d^2y)/(dx^2)+(dy)/(dx)-6y=0

Verify that the function y=e^(-3x) is a solution of the differential equation (d^2y)/(dx^2)+(dy)/(dx)-6y=0

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

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

The degree of the differential equation (d^2y)/(dx^2)+e^(dy//dx)=0.

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

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