Consider the third-order linear equation a" + a = 0 i) Solve the contour problem 2(0) = x'(0) = 0 e x(27) = 1. Solve the boundary problem 2(0) = 0, æ(27) = 1, a' (2m) = 0.

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A: We use the procedure of method of variation of parameters.

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Q: Find a slope of the solution of y' = t – y at (3,1).

A: We have been given a linear differential equation dydt=t−y ______(i) (As y′=dydt)We have to find the…

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