2) Solve the following initial value problem over the interval from t = 0 to t = 2 where y(0) = 1. Display all your results on the same graph. dy = yt – 1.1y dt (a) Analytically. (b) Euler's method with h = 0.5 and h = 0. 25. (c) Midpoint method with h = 0.5.

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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.