Question

State the order of the given ordinary differential equation. (1 − x)y'' − 9xy' + 8y = cos x

Answer 1

Answer:

The given differential equation has order 2.      

Step-by-step explanation:

We are given the differential equation:

$(1 -x)y''- 9xy' + 8y = \cos x$

We have to find the order of the given differential equation.

Order of a differential equation:

• The order of a differential equation is defined as the highest derivative in a differential equation.

The given differential equation is a second order differential equation that is a differential equation with order 2 because the highest derivative is y"