Undetermined coefficients for y+y'+4y = 2sinh(t)

[SoulofLoneWlf]

i solved homogenous but
y"+y'+4y = 2sinh(T)
is giving me trouble
also have a hint
sinh t = (e^t - e^-t)/2

also my "guess" was
aE^t +Be^-t=Y
maybe my guess was wrong?

 

[g_edgar]

That should be fine.

 

[HallsofIvy]

Why are you asking? Have you tried putting that into the equation? If you are used to working with hyperbolic functions directly, you can also use y= C cosh(t)+ D sinh(t).

 

[SoulofLoneWlf]

tried this guess but yield wrong answer guess ill do a few more times thanks all

 

[g_edgar]

In the "Homework" forum, you can put in your work with wrong answer, and ask where you went wrong.