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Math Help - solution of ODE

  1. #1
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    solution of ODE

    Can someone answer this question? stuck!
    Find the solution u(t) of the ODE
    <br />
3 \frac {d^2 x} {dt^2} - 2 \frac {du} {dt} - u = 0<br />
    which satisfies u = 1,  \frac {du} {dt} at t=0
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  2. #2
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    Quote Originally Posted by mongmong View Post
    Can someone answer this question? stuck!
    Find the solution u(t) of the ODE
    <br />
3 \frac {d^2 x} {dt^2} - 2 \frac {du} {dt} - u = 0<br />
    which satisfies u = 1,  \frac {du} {dt} at t=0
    Is it meant to be 3 \frac {d^2 {\color{red}u}} {dt^2} - 2 \frac {du} {dt} - u = 0 ?

    This is a second order homogenous linear differential with constant coefficients and there are a ton of websites that explain how to solve it.
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  3. #3
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    Yes
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