find the orthogonal trajectories of y^a = k*x^b..depending on parameter k (a and b are fixed for all curves)..please help!

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find the orthogonal trajectories of y^a = k*x^b..depending on parameter k (a and b are fixed for all curves)..please help!

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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whats exactly meant by orthogonal trajectories??
an orthogonal trajectory of a family of curves is a curve that intersects each curve at right angles
Implicit differentiate to get\[dy/dx=(bkx ^{b-1})/(ay ^{a-1})\]Integrate both sides to find orthogonal trajectories. Your problem with letters make it treacherous. http://www.nvcc.edu/home/dgoral/291web/ortho.htm

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