When all the curves in a family G(x. y. c1) = 0 intersect orthogonally. all the curves
Chapter 2, Problem 40(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. ci) = o. the families are said to be orthogonal trajectories of each other. See FIGURE 2.R.11. If dy/dx differential = f(x. y) is the differential equation of one family, then the is dy/dx = - equation 1/f(x. y). for In Proble the orthogonal ms 39 and traj 40, ectorie find s the of differential this family 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. RGURE2.R.11 Orthogonal trajectoriey x+ -Ct
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