Using three terms in the Taylor series given in Eq. (12) and taking h = 0.1

Chapter 8, Problem 15

(choose chapter or problem)

Using three terms in the Taylor series given in Eq. (12) and taking h = 0.1, determineapproximate values of the solution of the illustrative example y = 1 t + 4y, y(0) = 1 att = 0.1 and 0.2. Compare the results with those using the Euler method and with the exactvalues.Hint: If y = f(t, y), what is y?

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