Thread: Hard differential equation

y''+6y'+9y = e^(-3x)/X^3

I don't know what to do when b^2-4ac is zero. When I do the Wronskien matrix I can't solve for C1 and C2 cause my y1 and y2 are the same:

x^2 + 6x + 9 = 0

delta = 0

Y(x) = c1e^-3x + c2e^-3x

Can anyone help?

Originally Posted by Provoke

y''+6y'+9y = e^(-3x)/X^3

I don't know what to do when b^2-4ac is zero. When I do the Wronskien matrix I can't solve for C1 and C2 cause my y1 and y2 are the same:

x^2 + 6x + 9 = 0

delta = 0

Y(x) = c1e^-3x + c2e^-3x

Can anyone help?

, since you have repeated roots.

Originally Posted by Chris L T521

, since you have repeated roots.

Ahhh! Tickle me with a feather lol, thanks alot man!