Question

Determine order and degree(if defined) of differential equation

Answer 1

The given equation is y ''' +2 y '' + y ' =0.

ORDER: The order of a differential equation is the order of the highest order derivatives present in the equation.

DEGREE: The degree of a differential equation is the power of the highest order derivatives in the equation.

y'''+2y''+y'=0

Thus, the highest order derivative present in the differential equation is y'''. Therefore, the order is 3.

The given differential equation is a polynomial equation in y ''' , y '' and y ' in its derivatives. Thus, the highest power raised is 1.

Hence, its degree is 1 and order is 3.