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Thread: Particular Integral

  1. #1
    Junior Member
    Oct 2009

    Particular Integral

    I have $\displaystyle d^2x/dt^2+2dx/dt-2=e^(-t)$ and I have found CF = $\displaystyle A+Be^(-2t)$

    I need to find the PI, usually I differentiate everything until you have a constant on the right or with an exp I would set $\displaystyle x= e^(-t)v(t)$ but neither seems to work, could someone help me with the method, thanks
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  2. #2
    Super Member
    Jul 2009
    Your guess for a particular solution is incorrect. What is the homogenous solution to: $\displaystyle x''+2x'=e^{-t}+2$?
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