Answer: When all the curves in a family G(x, y, c1) 0 intersect orthogonally all the
Chapter 3, Problem 13(choose chapter or problem)
When all the curves in a family G(x, y, c1) 0 intersect orthogonally all the curves in another family H(x, y, c2) 0, the families are said to be orthogonal trajectories of each other. See Figure 3.R.4. If dydx f(x, y) is the differential equation of one family, then the differential equation for the orthogonal trajectories of this family is dydx 1f(x, y). In 13 and 14 find the differential equation of the given family. Find the orthogonal trajectories of this family. Use a graphing utility to graph both families on the same set of coordinate axes.
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