Old Man River… In Figure 3.2.8(a) suppose that the y-axis and the dashed vertical line x = 1 represent, respectively, the straight west and east beaches of a river that is 1 mile wide. The river flows northward with a velocity vr where |vr| = vr mi/h is a constant. A man enters the current at the point (1.0) on the east shore and swims in a direction and rate relative to the river given by the
[Hint: The velocity v of the swimmer along the path or curve shown in Figure 3.2.8 is the resultant v = vs + vr. Resolve vs and vr into components in the x- and y-directions. If x = x(t), y = y(t) are parametric equations of the swimmer’s path, then v = (dx/dt, dy/dt).]
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A First Course in Differential Equations with Modeling Applications (MindTap Course List)
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