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Wednesday, January 28, 2009

orthogonal trajectory of y(1+x ² ) = Cx

find the orthogonal trajectory of y(1+x ² ) = Cx
first form the differential equation of the given family
replace (dy/dx) with -1 / (dy/dx) to get the differential equation of the orthogonal trajectory
and solve the resulting equation

another example:orthogonal trajectory of y = (k/x)
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