State the order of the given ordinary differential equation.

(1 - x) y'' - 7xy' + 5y = cos x

Determine whether the equation is linear or nonlinear by matching it with (6) in Section 1.1.

2nd Order because it contains a 2nd derivative, y''

Linear because the y term is linear, in other words the y has no exponent, nor is it inside of a log or trig function.

ex:

ln (y) or sin (y) or e^y