Clairaut's Form

Rarely Tested
Equation: $$y = x \frac{dy}{dx} + f\left(\frac{dy}{dx}\right)$$
General solution: $$y = Cx + f(C)$$
Singular solution: Eliminate $$p$$ from $$y = xp + f(p)$$ and $$0 = x + f'(p)$$.
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