Y'' + 4y = ax + b how can i solve?

[c8c811]

y'' + 4y = ax + b

for y(x), and a & b are constants.

either rough guideline (for both homogeneous and particular solutions),
or detailed steps would be appreciated.

thanks in advance!

 

[c8c811]

ok, i got the homogenous solution, but how do i get the particular one?

what form of solution can i assume??

 

[LCKurtz]

Try y_p = Cx + D

 

[epenguin]

4y = ax + b is obviously going to satisfy it. will that do?

 

[dextercioby]

What do you think ?

 

[HallsofIvy]

4y = ax + b is obviously going to satisfy it. will that do?

So what is y?

 

[Redbelly98]

Is it just me, or does this look like a homework problem?