# Find approximate values of the solution of the given initial value problem at t = 0 3, and 0.4 using the E

QUESTION :

Find approximate values of the solution of the given initial value problem at t = 0 3, and 0.4 using the Euler method with h = 0.1. Repeat part (a) with h = 0.05. Compare the results with those found in (a). Repeat part (a) with h = 0.025. Compare the results with those found in (a) and (b) find the solution y = phi(t) of the given problem and evaluate phi(t) at t =0.1,0.2,0.3 and 0.4. Compare these values with the results of (a), (b),and (c). y’ = 3 + t – y, y(0) = 1 y’ = 2y – 1, y(0) = 1 y’ = 0.5 – t + 2y, y(0) = 1 y’ = 3cost – 2y, y(0) = 0 In each of Problems 5 through 10, draw a direction field for the given differential equ and state whether you think that the solutions are converging or diverging. y’ = 5 – 3 squareroot y

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