Consider the initial value problemy = 5 y, y(0) = 1.(a) Use Eulers method with five

Chapter 11, Problem 31

(choose chapter or problem)

Consider the initial value problemy = 5 y, y(0) = 1.(a) Use Eulers method with five steps to estimate y(1).(b) Sketch the slope field for this differential equationin the first quadrant, and use it to decide if your estimateis an over- or underestimate.(c) Find the exact solution to the differential equationand hence find y(1) exactly.(d) Without doing the calculation, roughly what wouldyou expect the approximation for y(1) to be with tensteps?

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