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Math Help - Particular Solution for 2nd Order Non-Hom O.D.E.

  1. #1
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    Question Particular Solution for 2nd Order Non-Hom O.D.E.

    Hello,

    While trying to solve the O.D.E. (D^2+4I)y=\cosh{2x}

    I get a particular solution of \frac{1}{8} \cosh{2x}.

    But the text book gives \frac{x}{8} \cosh{2x} as a particular solution.

    If I plug the particular solution from the text book back into the LHS of the ODE I get x\cosh{2x}+\frac{1}{2}\sinh{2x} which I don't think can be manipulated to equal the RHS.

    I can't see what I am missing.

    Any help very appreciated.

    Scott.
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    You are right, and the text book is wrong.

    Fernando Revilla
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