Find the solution of the following initial value problem:y" + 3y' +2y=0, y(0) = 0, y'(0) = - 2 Select one: а. 2e' – 2e21 b. 2e-2'sin3t c. y = 2e-21 - 2e-t O d. y = e-21 - e -t

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A: The detailed solution is as follows below:

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A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.