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zorro
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Homework Statement
Find the orthogonal trajectories of the circles x2 + y2 - ay = 0
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 = y2 - x2, 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 x2 + y2 = Cx
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