3. a. Assume that P(x) and Q(x) are continuous over the interval [a, b]. Use the Fundamental Theorem of Calculus, Part 1, to show that any function y satisfying the equation | v(x)Q\x). dx + C v(x)y = for v(x) = eſ P(x) dx is a solution to the first-order linear equation dy + P(x) у 3D 0(х). dx b. If C = yov(xo) – J, v(t)Q(t) dt, then show that any solution y in part (a) satisfies the initial condition y(xo) = yo-

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A:

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A: A detailed solution is given below.

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A:

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A:

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A: Given :- To find all functions from X = a,b to Y= p,r,t.

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A:

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A: The solution of the problem is given in the next steps.