Euler-Cauchy undetermined coefficients

[walt89]

Hello everyone,

I have a little issue finding the general solution for this equation using undetermined coefficients x^2y''−xy'+y=4x^3.
I usually solve these using Lagrange formula, but our teacher asked us to look into the other methoed as it may be easier sometimes.

Would anyone care to give share some insight ?

 

[LCKurtz]

You might look here:

Second Order Euler Equation

 

[walt89]

You might look here:

Second Order Euler Equation

Thanks this is actually great!!