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

Consider the system x'= -x+y

y'= -2y

Find the general solution (x(t),y(t)) by first solving for y(t) and then solving for x(t).

2. Relevant equations

Should I use undetermined coefficients for each of these separate diff eqs or should I substitute x'+x into the y' +2y=0?

3. The attempt at a solution

When I attempted this, I substituted x'+x into y'+2y=0 and got ae^-2t +be^-t where a and b are arbitraty constants. I am not sure if I need to look at a particular solution using undetermined coefficients or if I am even on the right track??

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# Homework Help: System of linear diff eqs

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