The differential equation representing y^2=2c(x+ c), c0, has order and degree:

Question

The differential equation representing $y^2=2c(x+\sqrt c)$, $c>0$, has order and degree:

Accepted Answer

Differentiating and eliminating $c$ leads, after squaring, to a cubic in $y'$: order 1, degree 3.

Solutions · 1