Solve the following problem over the interval from x = 0 to 1 using a step size of 0.25

Chapter 22, Problem 22.2

(choose chapter or problem)

Solve the following problem over the interval from x = 0 to 1 using a step size of 0.25 where y(0) = 1. Display all your results on the same graph. dy dx = (1 + 4x) y (a) Analytically. (b) Using Eulers method. (c) Using Heuns method without iteration. (d) Using Ralstons method. (e) Using the fourth-order RK method.

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