- #1
GogumaDork
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Homework Statement
Use the method of undetermined coefficients to find one solution of
http://img85.imageshack.us/img85/6844/4ab921ad6ba6851cc91401c.png
Note that the method finds a specific solution, not the general one.
Homework Equations
Y = Yc + Yp
Yc = C1e^(r1t)+C2e^(rt) when roots are not the same.
The Attempt at a Solution
For the homogeneous part I used the quadratic equation to get the roots -1 and -4.
Y = Yc + Yp
Yc = C1e^-t +C2e^-4t
I tried Yp = (At^2+Bt+C)*De^(4t) but it doesn't seem correct after solving a bunch of derivatives and plugging it back into y'' + 3y' -4y and solving for constants.
How to determine the Y-particular for this problem?
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