- #1
LMKIYHAQ
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Homework Statement
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).
Homework Equations
Should I use undetermined coefficients for each of these separate diff eqs or should I substitute x'+x into the y' +2y=0?
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??