Initial value problem of ord diff eq

[Grothard]

Homework Statement

3y'' -y' + (x+1)y = 1
y(0) = y'(0) = 0

Homework Equations

Not sure, that's the issue

The Attempt at a Solution

I can't quite get this one using the methods I'm familiar with, and I can't guess a particular solution to neither the equation nor the homogenous version thereof. Do I have to use the power series method?

 

[LCKurtz]

Homework Statement

3y'' -y' + (x+1)y = 1
y(0) = y'(0) = 0

I can't quite get this one using the methods I'm familiar with, and I can't guess a particular solution to neither the equation nor the homogenous version thereof. Do I have to use the power series method?

Yes, I would expect that.

 

[lurflurf]

Use series or change variables to reduce it to the Airy equation.