find the orthogonal trajectories of the following(adsbygoogle = window.adsbygoogle || []).push({});

(a) [tex]x^2y=c_1[/tex]

(b) [tex]x^2+c_{1}y^3=1[/tex]

for part (a) i've found [tex]y=\frac{1}{2}\log{|x|} + C_2[/tex]

for part (b) if i solve this integral this should be the O.T.

[tex]\frac{3}{2}\int{(\frac{1}{x^2}-1)}dx= \frac{y^2}{2}[/tex]

is this correct?

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# Orthogonal trajectories

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