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