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- #1

- Apr 13, 2013

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I have to find the orthogonal trajectories of the curves :

[tex] x^{2}-y^{2}=c , x^{2}+y^{2}+2cy=1 [/tex] ..

How can I do this??

For this: [tex] x^{2}-y^{2}=c [/tex] I found [tex] \left | y \right |=\frac{M}{\left | x \right |} [/tex] ,and for this: [tex] x^{2}+y^{2}+2cy=1 [/tex],I found: [tex]y=Ax-D[/tex],c,A,D [tex] \varepsilon \Re [/tex] .

Is this right??And how can I continue??