(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

For the system of differential equations

[itex]\frac{dx}{dt}=(-3x-y)[/itex]

[itex]\frac{dy}{dt}=(-2x-2y)[/itex]

(a) Find the general solution.

(b) Find the solution if x(0)=1 and y(0)=2.

2. Relevant equations

3. The attempt at a solution

I have absolutely no clue how to do this. I have never seen a problem like this. I was wondering if someone could tell me what topic this type of problem would fall under so that way I could look up similar problems and understand the concept of how to solve these type of problems.

I know how to solve initial value problems but I have never seen a system of equations like this were both x and y are a function of t and I'm given both their derivatives. Thanks for any help.

Some ideas that pop into my head right away is that it's a system of linear equations and that I can use Gaussian reduction or something but I'm not sure.

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# Homework Help: Differential Equations general solution

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