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Find the canonical form of the equation xuxx-2xUxy + Uyy = 6x. 2) Find the eigenvalues and eigenfunctions of the following Sturm-Liouville system. X+kX=0;

 

Find the canonical form of the equation xuxx-2xUxy + Uyy = 6x. 2) Find the eigenvalues and eigenfunctions of the following Sturm-Liouville system. X"+kX=0; X'(0)=0; X'(T) = 0. 3) Obtain the solution of the following Dirichlet problem: x + y

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