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Math Help - General sol. of this ODE.

  1. #1
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    General sol. of this ODE.

    I think this is in the right section. I am asked to find the compelte general solution for;

    y''+4y=x+e^(2x)

    I am entirely sure where to start, if anyone could point me in the right direction that would be great!
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  2. #2
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    Quote Originally Posted by eg109012 View Post
    I think this is in the right section. I am asked to find the compelte general solution for;

    y''+4y=x+e^(2x)

    I am entirely sure where to start, if anyone could point me in the right direction that would be great!
    Solve the complement, homogeneous, solution first.
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  3. #3
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    And then try a "particular solution" of the form y= Ax+ B+ Ce^{2x}
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