- Thread starter
- #1

Use the method of reduction of order to solve

y'' - 4y' + 4y = e

^{x }

when i do the auxiliary i get my roots to be -2, repeated. but from there i am not sure how to go on. i tried letting y

_{1}= e

^{2x}and letting y = y

_{1}v(x), and found y' and y'' to substitute back in the original equation to equate the coefficients, but that didn't work. I am now confused.

thanks for your assistance