As in Exercises 3.6, for some problems you will find it essential to have a calculat...

As in Exercises 3.6, for some problems you will find it essential to have a calculator or computer available.† For Problems 1–17, note whether or not is bounded.

Fluid Flow. In the study of the nonisothermal flow of a Newtonian fluid between parallel plates, the equation

was encountered. By a series of substitutions, this equation can be transformed into the first-order equation

Use the fourth-order Runge–Kutta algorithm to approximate v (3) if v (u) satisfies v(2) = 0.1. For a tolerance of E = 0.0001, use a stopping procedure based on the relative error