Determine order and degree(if defined) of differential equation y″ + (y′)2 + 2y = 0
y″ + (y′)2 + 2y = 0
The highest order derivative present in the differential equation is y″. Therefore, its order is two.
The given differential equation is a polynomial equation in y″and y' and the highest power raised to y″ is one.
Hence, its degree is one.