A. Solve the following initial value problem: with y(20) =tan(20). (Find y as a function of t.) y = tan(t) B. On what interval is the solution valid? (Your answer should involve pi.) Answer: It is valid for pi < t < 2pi cos(t) 2 d dy = 1 dt C. Find the limit of the solution as t approaches the left end of the interval. (Your answer should be a number or "PINF" or "MINF". "PINF" stands for plus infinity and "MINF" stands for minus infinity.) Answer: D. Similar to C, but for the right end. Answer:

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A: Let's find.

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A:

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A: We have to find the Laplace transform and inverse Laplace transform.

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A: This question is based on properties of exponents.

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Q: v(t) = cos(2t)

A: