Question: Please help to solve this problem. Problem 2. In this problem we want to solve the following heat equation in re (1, e), t> 0

Please help to solve this problem.

Problem 2. In this problem we want to solve the following heat equation in re (1, e), t> 0 dru = 12 drau + 3.x dru + u u(t, 1) = 0, u(t, e) + dru(t, e) =0 . u(0, x) = a) Find the first three eigenvalues of the eigenvalue problem by a numeric method (you can use a computer software) *2 p" + 3 4' + 4=-14 4 ( 1 ) = 0, 4( e ) + p' ( e ) = 0' ki0 u(0, x) =0

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