Find the order and degree (if defined) of the differential equation (y''')+ (y'')3+ (y')4+ y5 =0.
Answer & explanation
Correct answer: option 3
The highest order derivative present in the given differential equation is y'''. Therefore, its order is three.
The given differential equation is a polynomial equation in y''', y'', and y'. The highest power raised to y''' is 1. Hence, its degree is 1.