Non-homogeneous series equation

[hbomb]

could someone help me start of the series for this equation

y"-4xy'+3y=e^(-x)
y(0)=1
y'(0)=1

I'm not sure what to do since this is not a homogeneous equation.

 

[drpizza]

I'm staring at that, wondering why you don't just substitute 0 for x, and substitute 1 for y, and 1 for y'? But, I looked at your equations before I even read your sentence about finding a series.

 

[hbomb]

I'm required to find the first four values of this equation. And then I'm suppose to find a recurrence relation of this equation.