(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the orthogonal trajectories of the circles x^{2}+ y^{2}- ay = 0

3. The attempt at a solution

I differentiated the equation w.r.t. x.,

Replaced dy/dx with -dx/dy,

Solved the equation and got xyC = y^{2}- x^{2}, where C is a constant.

I did not eliminate 'a' after differentiating for the first time. I did that after solving the differential equation with -dx/dy. Is this method correct?

The answer given is x^{2}+ y^{2}= Cx

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# Orthogonal Trajectories

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