Solve the initial-value problem. xy'−y=xlnx, y(1) = 5 O a. y(x) = 5x(In x)2 O b. C. y(x) = 5xln x + O d. 1 Oe. 2 y(x) = 5 ln x + 2x x ´y(x) = − x(ln x)² + 5x y(x) = — (In x)³ + x 2

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A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

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A: NOTE: Refresh your page if you can't see any equations. . here we have

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A: Let's find.

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A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

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A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: 1. f(x) = 3x2 + 4 af (x) = 6x2 b. f'(x) = 6x2 +1 c. f'(x) = 6x d. f'(x) = 3x 2. g(x) = v3 – vt a.…

A: To find the derivative.