Question
Mathematics Question on Differential equations
Determine order and degree (if defined) of differential equation (y''')2+(y'')3 +(y')4 +y5 =0
Answer
(y''')2+(y'')3 +(y')4 +y5 =0
The highest order derivative present in the 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 2.
Hence, its degree is 2.