Most of the problems in this section call for fairly

Chapter 2, Problem 4

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Most of the problems in this section call for fairly extensive numerical computations. To handlethese problems you need suitable computing hardware and software. Keep in mind thatnumerical results may vary somewhat, depending on how your program is constructed and onhow your computer executes arithmetic steps, rounds off, and so forth. Minor variations in thelast decimal place may be due to such causes and do not necessarily indicate that something isamiss. Answers in the back of the book are recorded to six digits in most cases, although moredigits were retained in the intermediate calculations.In each of 1 through 4:(a) Find approximate values of the solution of the given initial value problem at t = 0.1, 0.2,0.3, and 0.4 using the Euler method with h = 0.1.(b) Repeat part (a) with h = 0.05. Compare the results with those found in (a).(c) Repeat part (a) with h = 0.025. Compare the results with those found in (a) and (b).(d) Find the solution y = (t) of the given problem and evaluate (t) at t = 0.1, 0.2, 0.3, and0.4. Compare these values with the results of (a), (b), and (c).4. y= 3 cost 2y, y(0) = 0

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