1 (t) %3 За1 () — 2л2 (") + e'гз (t) т. (t) —D sin (t) х1 (t) + сos (t) хз (t) a3 (t) = t²r1 (t) + tæ2 (t) + x3 (t)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Write the system of equations in the image in matrix form

x1 (t) = 3x1 (t) – 2x2 (t) + e'x3 (t)
I2 (t) = sin (t) #1 (t) + cos (t) a3 (t)
x3 (t) = tx1 (t)+ tx2 (t) + x3 (t)
sin (t) x1 (t) + cos (t) x3 (t)
Transcribed Image Text:x1 (t) = 3x1 (t) – 2x2 (t) + e'x3 (t) I2 (t) = sin (t) #1 (t) + cos (t) a3 (t) x3 (t) = tx1 (t)+ tx2 (t) + x3 (t) sin (t) x1 (t) + cos (t) x3 (t)
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