- #1

adam640

- 19

- 0

**Help solving a second order ODE with repeated roots, urgent!**

I have a differential equaition

d2y/dx2 - 6dy/dx + 9y = 0

I have found the general solution to be

y = (Ax + B)e

^{3x}

Now I need to find the solutions to A and B so that...

when y = 4, x = 0

when y = 49.e

^{15}, x = 5

I literally have no idea where to start with this question and I have this and a few others of a similar format due in a couple of hours, so any help is greatly appreciated. I understand the other methods for ODE's but I do not have any notes for this method and have been unable to find any resources online.

Any help is greatly appreciated!

Thanks,

Adam