The difference between degree and order of the differential equation representing y^2=a(x+…

Question

The difference between degree and order of the differential equation representing $y^2=a\left(x+\sqrt a\right)$, $a>0$ is \_\_\_\_\_\_.

Answer: 2

Accepted Answer

Differentiating and eliminating $a$ leads to a differential equation of order 1 and degree 3 (cubic in $y'$ after squaring). Difference $=3-1=2$.

Solutions · 1