For what is the charactersitic equation? You will need to solve this equation to contiune.
Hint: Its a quadratic
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 .
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.