9. (a) Show that the functions r(t) = 3et+ 7e-¹ and y(t) = 3et+ 21e-t are solutions of thesystemsatisfying the initial conditions (0) ==2x - Y,I' =y' = 3x2y,10 and y(0) = 24.

Given: 9. a) x(t)=3et+7e-t and yt=3et+21e-t and a system, x'=2x-yy'=3x-2y satisfying the initial…

Answered: 9. (a) Show that the functions r(t) =…

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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9. (a) Show that the functions r(t) = 3et+ 7e-t and y(t) = 3et+21e-t are solutions of the system I' = 2x Y, y' = 3x - 2y, satisfying the initial conditions (0) = 10 and y(0) = 24.