## anonymous 5 years ago Question: use the fact that y=e^3x is an obvious of each of the following equation to find a second and the general solution. a: y''-6y''+9=0 b: xy''-3(x+1)y'+9y=0

1. Owlfred

Hoot! You just asked your first question! Hang tight while I find people to answer it for you. You can thank people who give you good answers by clicking the 'Good Answer' button on the right!

2. anonymous

y''-6y'+9=0 auxiliary eq. : $\lambda ^{2} -6\lambda +9=0$ has one root: 3 so the general solution in this case is (A+Bx)e

3. anonymous

$(A+Bx)e ^{3x}$

4. anonymous

for the B part ask someone else, I am not sure

5. anonymous

for b: e^3x . e^ln-3 im not sure and i need help about b