Section 3.6 In Exercises 1-3, find the solution of the given IVP. 2. dy +4- +20y=0 dt² dt. y(0) = 2, y'(0) = -8 3. d'y dy +4y= 0 dt2 dt y(0) = 1, y'(0) = 1

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Q: The system dx/dt = x + y, dy/dt = x + 2y + 1 has a constant solution. true or false?

A: dx/dt = x + y,dy/dt = x + 2y + 1

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Q: Solve the IVP y" + 2y' + y = U (t – 3), y(0) = 0, y'(0) = 1. -

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Q: Exercise 1.5.5: Solve y' = (x + y − 1)². -

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Q: 1. dy +4- dt 5y = 0 dt2 y(0) 11, y'(0) = -7 =

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…