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## Homework Statement

Write the equation to find the orthogonal trojectory for [tex]x^2 + y^2 = r^2[/tex]

**2. The attempt at a solution**

Well.. you solve this by just integrating.. but, I don't know what to do with the r^2 ?

[tex]x^2 + y^2 = r^2[/tex]

[tex]x^2 + y^2 \frac{dy}{dx} = r^2 \frac{dy}{dx}[/tex]

is that even right? then... integrate r^2 to become [tex]\frac{r^3}{3}[/tex] ?