Consider the differential equationdydx = 2x, with initial condition y(0) = 1.(a) Use

Chapter 11, Problem 15

(choose chapter or problem)

Consider the differential equationdydx = 2x, with initial condition y(0) = 1.(a) Use Eulers method with two steps to estimate ywhen x = 1. Now use four steps.(b) What is the formula for the exact value of y?(c) Does the error in Eulers approximation behave aspredicted in the box on page 601?

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