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Orthogonal Trajectory Method
If a family has differential equation:
$$\frac{dy}{dx}=f(x,y)$$
then its orthogonal trajectories satisfy:
$$\frac{dy}{dx}=-\frac{1}{f(x,y)}$$
Usage
- Used to find curves intersecting a given family at right angles.
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Orthogonal Trajectory Method
If a family has differential equation:
$$\frac{dy}{dx}=f(x,y)$$
then its orthogonal trajectories satisfy:
$$\frac{dy}{dx}=-\frac{1}{f(x,y)}$$
Usage
- Used to find curves intersecting a given family at right angles.
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