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Math Help - Separation of variables

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    Separation of variables

    By the method of separation of variables, solve the equation

    u_{tt}+4u_{t}-u_{xx}=5\sin(2\pi x)

    for 0\leq x\leq1 with boundary conditions u(0,\, t)=u(1,\, t)=0 and initial conditions u(x,\,0)=u_{t}(x,\,0)=0.
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  2. #2
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    Quote Originally Posted by Cairo View Post
    By the method of separation of variables, solve the equation

    u_{tt}+4u_{t}-u_{xx}=5\sin(2\pi x)

    for 0\leq x\leq1 with boundary conditions u(0,\, t)=u(1,\, t)=0 and initial conditions u(x,\,0)=u_{t}(x,\,0)=0.
    Are you familiar with the method? What have you tried and where do you get stuck?
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