- #1
zyferion
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Homework Statement
Find the general solution of the following differential equation:
y" + 3y' + 2y = sin ex
Homework Equations
y = yh + yp
homogeneous solution: (found by solving characteristic eq)
yh = Ae-2x + Be^-x
The Attempt at a Solution
from my table if r(x) = ksin(wx)
then choice for yp = Kcos(wx) + Msin(wx)
i tried using y_p = Kcos(ex) + Msin(ex)
and found y' and y" using chain and product rule but it ended up messy and i couldn't cancel things out in the end.
if you've come across something like this please help me find the general form?
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