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Math Help - Another ODE Please help

  1. #1
    tak
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    Another ODE Please help

    d^2y/dx^2 +5dy/dx+6y=3e^(-2x)+e^(3x)

    I can't seems to recognize the particular solution
    please help
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  2. #2
    Senior Member Peritus's Avatar
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    <br />
y_p (x) = Axe^{ - 2x}  + Be^{3x} <br />

    you might also read the following article:

    Method of undetermined coefficients - Wikipedia, the free encyclopedia

    in particular the following paragraph:

    f a term in the above particular solution for y appears in the homogeneous solution, it is necessary to multiply by a sufficiently large power of x in order to make the two solutions linearly independent. If the function of x is a sum of terms in the above table, the particular solution can be guessed using a sum of the corresponding terms for y.
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  3. #3
    tak
    tak is offline
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    Please solve

    I can't seems to get another constant because of the x term
    can someone help
    i'm stuck finding the constact for A because the RHS does not have a x term....how do I cancel it??
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