5. (a) Solve the cauchy problem given by x²ux + xyuy + xu = Xx-y where (x, y) + (0,0) if u(x, xln x) = -lnx, x > 0. (b) Comment on the solution of PDE given in part (a) when U(X, 2) = 2

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A: Since you have posted multiple question, I can do first question as per our company guidelines.…

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A: False

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A: The formulas which are used to solve the above problem are stated with the solution.

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A: Our objective is given below:

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