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Use your answer(λ1=-2 λ2=-6) from part (a) to find the solution to the linear system x′=−42x+60y y′=−24x+34y satisfying the initial conditions x(0)=1 and y(0)=0. x(t)=? and y(t)=?
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If you're stuck on the theory here, I suggest you watch this lecture (or at least the last part of it) and/or the ones around it: http://ocw.mit.edu/courses/mathematics/18-03-differential-equations-spring-2010/video-lectures/lecture-25-homogeneous-linear-systems-with-constant-coefficients/
ok budy ill check it out. thanks
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