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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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9. (a) Show that the functions r(t) = 3et+ 7e-¹ and y(t) = 3et+ 21e-t are solutions of the
system
satisfying the initial conditions (0) =
=
2x - Y,
I' =
y' = 3x
2y,
10 and y(0) = 24.
Transcribed Image Text:9. (a) Show that the functions r(t) = 3et+ 7e-¹ and y(t) = 3et+ 21e-t are solutions of the system satisfying the initial conditions (0) = = 2x - Y, I' = y' = 3x 2y, 10 and y(0) = 24.
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