By inspection, find a particular solution of y'' + 2y = 6.

Solution:

Rewriting the differential equation to get a corresponding homogenous differential equation,

We have, y'' + 2y - 6 = 0 --------->(1)

Since (1) is a homogenous equation we can use the characteristic variable ‘m’

m² + 2 = 0

m² = -2

m = ± i√2

By inspection, find a particular solution of y'' + 2y = 6.

Summary:

By inspection, the particular solution of y'' + 2y = 6 is m = ± i√2