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Homework Statement
x' = x-3y
y'= -2y
There are two solutions of this system that lie on straight lines, in the sense
that the ratio y(t)/x(t) is constant along each such solution. Find these lines and the
corresponding solutions.
Homework Equations
None in particular that I can think of
The Attempt at a Solution
I don't follow the question. I see that it asks for 2 particular solutions that are straight lines but how does y(t)/x(t) come into this to help me solve for them?
thanks