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Math Help - Initial Value Problem using method of undetermined coefficients

  1. #1
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    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
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  2. #2
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    Re: Initial Value Problem using method of undetermined coefficients

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