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Math Help - boundary value problem

  1. #1
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    boundary value problem

    hi, i cannot seem to start off this question.

    Solve the boundary value problem for (9*y")-(18*y')+(10*y)=0, y(0)=0, y(π)=1, if its possible. If there is no solution, explain why not.

    Thanks heaps
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  2. #2
    Senior Member Sampras's Avatar
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    Quote Originally Posted by zen-x View Post
    hi, i cannot seem to start off this question.

    Solve the boundary value problem for (9*y")-(18*y')+(10*y)=0, y(0)=0, y(π)=1, if its possible. If there is no solution, explain why not.

    Thanks heaps
    So  9y''-18y'+10y = 0, \ y(0) =0, \ y(n) = 1 . This is a homogeneous, second order, constant coefficient DE. Look at the characteristic equation:  9 \lambda^{2}-18 \lambda+10  = 0 (e.g. put  y = e^{\lambda x} ).
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