I have the equation for which I need to find the orthogonal trajectory: (a) y = e c x Taking the partial derivative with respect to x, I get (b) d y d x = c e c x From (a), we can solve
Slope of the orthogonal trajectories: ???\frac{dy}{dx}=-\frac{x}{y}??? If we treat the slope of the orthogonal trajectories as a separable differential equation, we can separate
In order to find the orthogonal family, we use the following practical steps Step 1. Find the associated differential equation. Step 2. Rewrite this differential equation in the explicit form
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