The differential equation of the family of curves ${{y}^{2}}=4a(x+a)$, where a is an arbitrary constant, is

Question

Accepted Answer

$y	ext{ }\left[ 1-{{\left( \frac{dy}{dx} ight)}^{2}} ight]=2x\frac{dy}{dx}$

Answer

$y	ext{ }\left[ 1+{{\left( \frac{dy}{dx} ight)}^{2}} ight]=2x\frac{dy}{dx}$

Answer

$\frac{{{d}^{2}}y}{d{{x}^{2}}}+2\frac{dy}{dx}=0$

Answer

${{\left( \frac{dy}{dx} \right)}^{3}}+3\,\frac{dy}{dx}+y=0$

diff-equation