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## Homework Statement

Solve:

y'' + y' - 2y = 0

y(0) = 1

y'(0) = -2

## Homework Equations

## The Attempt at a Solution

I found:

http://image.cramster.com/answer-board/image/cramster-equation-200942414569633761817696516250247.gif

So the recurrence relation is:

http://image.cramster.com/answer-board/image/cramster-equation-20094241457286337618184812037502167.gif

for n = 0:

http://image.cramster.com/answer-board/image/cramster-equation-20094241458446337618192469850005024.gif

Now here's my question. Can I assume at this point that:

c

_{0}= y(0) = 1

and c

_{1}= y ' (0) = -2

?

This would allow me to have a numerical value for each c

_{n}.

Thanks!

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