- #1
Ramacher
- 5
- 0
Homework Statement
Find General Solution:
y"+6y'+9y=e-3x-27x2
Homework Equations
The Attempt at a Solution
I know you have yh which is the general solution to the left side of the equation set to 0 and then fine the particular solution.
When i try to find yp1 I get yp1=Ae-3x, y'p1=-3Ae-3x, and y"p1=9Ae-3x
Substituting that into the left side we get
9Ae-3x+6(-3Ae-3x)+9(Ae-3x)=Ae-3x
Canceling out Ae-3x we get
9A-18A+9A=1
0A=1
SO does this mean when I'm finding the general solution y=yh+yp1+yp2 that yp1 is going to be 0?
I Know this is a very simple question but my mind is running in circles!