For what is the charactersitic equation? You will need to solve this equation to contiune.

Hint: Its a quadratic

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- Jul 11th 2011, 11:21 AM #1

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- Jul 11th 2011, 01:53 PM #2

- Jul 11th 2011, 02:17 PM #3

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## Re: ODE Problem

There's probably an easier way to do this, but one valid and straightforward method is to convert to the system

,

where . We use this to find the fundamental matrix

and determine for some constants . It's easy to verify that the solution to the IVP in (i) is then given by .

- Jul 11th 2011, 02:24 PM #4

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## Re: ODE Problem

Hi. Thanks for the reply

I should have been more specific sorry. its part ii) that Im really stuck with. sorry

for part i) I put the values into the quadratic formula and then with the obtained values substituted them into general solution giving me the desired graph that i was looking for

If you could help me with part ii) that would be great.

thanks

- Jul 11th 2011, 09:35 PM #5