Consider a system of coupled differential equations(adsbygoogle = window.adsbygoogle || []).push({});

x'=5x-y where x(0) = 6

y'=-x+5y where y(0)=-4

a) Show that the parametrised curve (x,y)= r(t)=(exp(4t) + 5exp(6t), exp(4t) - 5exp(6t))

How would you go about showing this?

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# Showing that a parametised curve is a solution to a system of coupled DE equations

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