4. (а) Solve the IVP for y(t): y" + 4y = 3 8(t – n), y(0) = 0, y' (0) = 0 (b) 2n. Be sure to label your graph so that the period and amplitude of any oscillations are clearly identified. Graph the solution y(t) from part (a) versus t, for values of t between 0 and

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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.