Assume the solution of = 5- y, y(0) = 2 can be written in the form of a power series, y = E=0 Cnx". Determine the first three nonzero coefficients co,C1, and c2. Then you have a second-degree polynomial that %3D dt approximates the true solution of the initial value problem. Use your second-degree polynomial to estimate v(1).

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A: Please see the attachments

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A: a1=a0a2=a0a3=2a0/3Explanation:Step 1: Step 2: Step 3: Step 4:

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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.