— 2х — 4у Find the solution to the linear system of differential equations satisfying the initial conditions x(0) = 6 6х + 8y and y(0) = -8. x(t) = (-14(e^-t))+(e^(2t)) y(t) (-14(e^-t))+20(e^(2t))

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Sa'
ly'
—2х — 4у
Find the solution to the linear system of differential equations
satisfying the initial conditions x(0) = 6
6x + 8y
and y(0) = -8.
æ(t) =
(-14(e^-t))+(e^(2t))
y(t) = (-14(e^-t))+20(e^(2t))
Transcribed Image Text:Sa' ly' —2х — 4у Find the solution to the linear system of differential equations satisfying the initial conditions x(0) = 6 6x + 8y and y(0) = -8. æ(t) = (-14(e^-t))+(e^(2t)) y(t) = (-14(e^-t))+20(e^(2t))
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