Which of the following is the general solution of the equation system dx = y dt dy 2у — х %3D dt x(t) = c, + c2 te-t а) y(t) = c, + c2(t – 1)e-t %3D x(t) = (c, + c,t)e-t b) y(t) = c, + c2 (t – 1)e-t x(t) = (c, + c2(t – 1))e | c) y(t) = (c + c2t)e* x(t) = (c, + c,t)et d) y(t) = (c + c2 (t – 1))e* e) None of them

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Which of the following is the general solution of the equation system
dx
= y
dt
dy
2у — х
%3D
dt
x(t) = c, + c2 te-t
а)
y(t) = c, + c2(t – 1)e-t
%3D
x(t) = (c, + c,t)e-t
b)
y(t) = c, + c2 (t – 1)e-t
x(t) = (c, + c2(t – 1))e
|
c)
y(t) = (c + c2t)e*
x(t) = (c, + c,t)et
d)
y(t) = (c + c2 (t – 1))e*
e) None of them
Transcribed Image Text:Which of the following is the general solution of the equation system dx = y dt dy 2у — х %3D dt x(t) = c, + c2 te-t а) y(t) = c, + c2(t – 1)e-t %3D x(t) = (c, + c,t)e-t b) y(t) = c, + c2 (t – 1)e-t x(t) = (c, + c2(t – 1))e | c) y(t) = (c + c2t)e* x(t) = (c, + c,t)et d) y(t) = (c + c2 (t – 1))e* e) None of them
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