For a eR , Which of the following is the y(t) solution function of the differential equation system dy +2y-a.e' dt dx dt dy x-y dt a A-) y(t) = c, cos t +c, sin t+e' B-) y(1) = c, cos zr +c, sin /2r + ae' -) y(t) = c, cost +c, sint+e' 3 -) y(1) =c, cos /Zr + c, sin zr +e' a E-) y(1) =c, cos /2t + c, sin 2r +"e 3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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For a eR , Which of the following is the y(t) solution function of the differential equation system
dy
+2y-a.e'
dt
dx
dt
dy
x-y
dt
a
A-)
y(t) = c, cos t +c, sin t+e'
B-)
y(1) = c, cos zr +c, sin /2r + ae'
-)
y(t) = c, cost +c, sint+e'
3
-)
y(1) =c, cos /Zr + c, sin zr +e'
a
E-)
y(1) =c, cos /2t + c, sin 2r +"e
3
Transcribed Image Text:For a eR , Which of the following is the y(t) solution function of the differential equation system dy +2y-a.e' dt dx dt dy x-y dt a A-) y(t) = c, cos t +c, sin t+e' B-) y(1) = c, cos zr +c, sin /2r + ae' -) y(t) = c, cost +c, sint+e' 3 -) y(1) =c, cos /Zr + c, sin zr +e' a E-) y(1) =c, cos /2t + c, sin 2r +"e 3
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