Thread: Initial Value Problem using method of undetermined coefficients

y'' + y' - 6y = 3te^(2t)
with initial conditions:
y(0) = 3
y'(0) = 5

Help please! I have a start...
The associated auxilery equations is
r^2 + r - 6 = 0
r = -3 and r = 2
I think r is a single root since looking at the equations ay'' + by' + cy = Ct^(m)e^(rt)
r = 2.
so I think s = 1 in the following equation
so yp(t) = t^(s)(Am*t^(m) + A1t _ A0)e^(rt) is the equation used for method of undetermined coefficients

y'' + y' - 6y = 3te^(2t); y(0) = 3; y'(0) = 5 - Wolfram|Alpha

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