What is the solution of given initial value problem? =y + sin t dt2 da + cost dt - dt2 * (0) = 1, a (0) = 0, 3(0) = -1, 3 (0) = -1 a. (t) = sin t, y(t) = – cost - sint O b. * (t) = sin t, y(t) = cost + sin t O c. (t) = cost, y(t) = cost - sin t O d. « (t) = cost, y(t) = cost - sin t O e. * (t) = cost, y(t) = - cos t + sin t

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A:

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A:

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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.