Now answered: Some of the results requested in 21 through 28 can be obtained either by

Chapter 2, Problem 28

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Some of the results requested in 21 through 28 can be obtained either by solvingthe given equations analytically or by plotting numerically generated approximations to thesolutions. Try to form an opinion about the advantages and disadvantages of each approach.Consider the initial value problemy = ty(4 y)/(1 + t), y(0) = y0 > 0.(a) Determine how the solution behaves as t .(b) If y0 = 2, find the time T at which the solution first reaches the value 3.99.(c) Find the range of initial values for which the solution lies in the interval 3.99 < y < 4.01by the time t = 2.

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