Question
Determine order and degree (if defined) of differential equations:
y'' + (y')2 + 2 y = 0
Solution
The given differential equation is
y'' + (y')2 + 2 y = 0
The highest order derivative present in the given differential equation is y' and the index of its highest power is 1.
∴ the given differential equation is of order 2 and degree 1.