- #1
phantom lancer
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Homework Statement
Using the method of undetermined coefficients, determine the general solution of the following second-order, linear, non-homogenous equations.
y'' - 4y' + 4y = 2e^(2x+3)
Homework Equations
I'm not sure what to do from here...
Also, I'm new here. How do I use the superscript for exponents?
The Attempt at a Solution
r^2 - 4r + 4 = 0
r = 2, so y = C1e^(2x) + C2xe^(2x)
I assume Yp = Ax^(2)e^(2x+3)
so, Yp' = 2Ax^(2)e^(2x+3)
Yp'' = 4Ax^(2)e^(2x+3)
plugging them in the equation: 4Ax^(2)e^(2x+3) - 4(2Ax^(2)e^(2x+3) + 4(Ax^(2)e^(2x+3) = Ax^(2)e^(2x+3)
I get 0 = Ax^(2)e^(2x+3)
From here, I don't know what to do. Please Help.