# Math Help - Differential Equations

1. ## Differential Equations

x^2 y'' - xy' + y = x^2 , x>0

Find the General Solution

Not sure were to start on this one.

2. Originally Posted by justin6mathhelp
x^2 y'' - xy' + y = x^2 , x>0

Find the General Solution

Not sure were to start on this one.
Note that a particular solution is $y = x^2$.

3. Originally Posted by justin6mathhelp
x^2 y'' - xy' + y = x^2 , x>0

Find the General Solution

Not sure were to start on this one.
For the general solution this is Euler equation with solution $c_1 x + c_2 x \log x$.