Orthogonal Trajectory Differential Equation

Rarely Tested

Orthogonal Trajectory Differential Equation

If:

$$\frac{dy}{dx}=f(x,y)$$

then the orthogonal family satisfies:

$$\frac{dy}{dx}=-\frac{1}{f(x,y)}$$

Usage

- Used to determine the differential equation of orthogonal trajectories.

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