solve the given differential equation by undetermined coefficients
y'''-y''-4y'+4y=5-e^x+e^2x

Question

solve the given differential equation by undetermined coefficients 
y'''-y''-4y'+4y=5-e^x+e^2x

myininaya · Answer

You need to find the homogeneous solution. Have you done that yet?

anonymous · Answer

yes and I got y=c1e^-2x+c2xe^-2x+c3e^x

myininaya · Answer

Then I would make a guess at the particular solution being:
$$y_p=Ae^{x}+Be^{2x}+C$$

anonymous · Answer

how did you do it

myininaya · Answer

I just looked at the right hand side of the differential equation.

myininaya · Answer

And it is just really a guess. 
If it was a function like sin on the other side though
I probably would chose the y_p to be like sin +cos

anonymous · Answer

ok so what would the final solution be

myininaya · Answer

if we have on t^4+t^3 on the side side
i probably would have chose y_p as at^4+bt^3+ct^2+dt+e

myininaya · Answer

also i forget to put constants in front that sin +cos thing

myininaya · Answer

You have to plug in find the constants

anonymous · Answer

how are you get these Im confused

anonymous · Answer

what would the final answer be bc I have no idea

myininaya · Answer

maybe pauls notes will help you

myininaya · Answer

anonymous · Answer

thank you for no help

myininaya · Answer

you have to plug into find the constants

myininaya · Answer

I wasn't done helping you

myininaya · Answer

I just thought the notes would be beneficial to you

myininaya · Answer

But I can go help someelse if you don't need my help.