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Solve the system: x' = (2 4 -1 6)x

User Mrbm
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1 Answer

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Answer:


x=e^(8t)+c

Explanation:

we have given x'=(24-16)x=8x

x' denotes the differenation


(dx)/(dt)=8x differentiation is performed with respect to t

by variable separable method we can write


(dx)/(x)=8dt

on integrating both side


lnx=8t+c


x=e^(8t)+c (property of log )

so the solution for x will be
x=e^(8t)+c

User Anhlc
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