- #1
jumbogala
- 423
- 4
Homework Statement
Solve 354y`` −692y` + 235y =0
y(0) = 7
y`(0) = 4
Homework Equations
The Attempt at a Solution
First I divided the equation by 354 to get y`` - 1.56y` + 0.894y = 0.
Then I found the roots of this to be 0.94, repeated twice.
For repeated roots the solution looks like y= C1e0.94t + C2te0.94t
Using the initial conditions, solve. You find that C1 = 7.
y` = 0.94C1e0.94t + 0.94C2te0.94t + C2e0.94t. Plugging in t = 0 we find that C2 = -2.61.
Therefore y = y= 7e0.94t -2.61te0.94t
But this isn't the correct answer. Where did I go wrong?
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