- #1
jumbogala
- 423
- 4
Homework Statement
y'' - 2y'+ 6y = 0
y(0) = 3
y(5) = 7
Find a solution y(t).
Homework Equations
The Attempt at a Solution
I found the characteristic equation: x2 - 9x = 0, which has roots at 0 and 9.
Therefore y(t) = C1e0x + C2e9x
Using the initial conditions to solve this:
3 = C1 + C2
7 = C1 + C2(e^9)
And solving the system of equations gives
C1 = 3
C2 = 4.937
Therefore y(t) = 3 + 4.937e^9.
But this isn't the correct answer... where did I go wrong? It seems like it should work =\
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