Calculus 10th Edition
The equation is .
Apply derivative on each side with respect to .
.
Find orthogonal trajectory.
Orthogonal family has negative reciprocal slope.
Apply integral on each side.
.
Graph the two families.
Graph the function for several values of .
Graph the orthogonal function for several values of .
Graph :
Observe the graph:
are hyperbola.
are curves.
Graph :
Observe the graph:
are hyperbola.
are curves.
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