hey all this is my first post and im sorry that i begin asking bt well ill try to help too whenever i can...

this is about second grade differential equations...

consider the equation

$\displaystyle xy''-(x+N)y'+Ny=0$ where N>=0

show that $\displaystyle y_1=e^x$ is a solution and the second solution can be in the form

$\displaystyle y_2(x)=e^x \int x^n e^{-x} dx$