a. Find approximate values of the solution of the given initial value problem at t = 0.1, 0.2, 0.3, and 0.4 using the Euler method with h = 0.1. b. Repeat part (a) with h = 0.05. Compare the results with those found in a. c. Repeat part a with h = 0.025. Compare the results with those found in a and b. d. Find the solution y = ϕ(t) of the given problem and evaluate ϕ(t) at t = 0.1, 0.2, 0.3, and 0.4. Compare these values with the results of a, b, and c. 2. y′=2y−1,y(0)=1

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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.