# Clairaut's equation

##### Member

$$\displaystyle y=px+\sqrt{1+2p^4}$$ where $$\displaystyle p=\frac{dy}{dx}$$

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#### MarkFL

Is it necessary to express the singular solution in implicit form?. You can write it in parametric form: $$x=\dfrac{-4p^3}{\sqrt{1+2p^4}},\quad y=\dfrac{1-2p^4}{\sqrt{1+2p^4}}$$