Question
Mathematics Question on Differential equations
Determine order and degree (if defined) of differential equation y'''+2y''+y'=0
Answer
y'''+2y''+y'=0
The highest order derivative present in the differential equation is y'''.
Therefore, its order is three.
It is a polynomial equation in y''', y'', and y'.
The highest power raised to y''' is 1.
Hence, its degree is 1.