Solve the system y'-2x-2y 40, %3D x'+y'-2y 0, x(0) =y(0) = 0. O A None of these. 40 %3D e--1) (e 2 -1) and y(t) = sinh(2t) 40 %3D O B. X(t) = 40 OC X(t) = - (-1) 40 and y(t) = sinh(t) %3D O D. X(t) = 40 40 e- -1) and y(t) = 40 sinh(2t) %3D 40 40 OE X(t) = -꽃 (e-2-1) and yt- = cosh(2t) %3D %3D 3

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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Solve the system
y'-2x-2y 40,
x'+y'-2y = 0,
x(0) = y(0) = 0.
O A None of these.
40
O B. X(t) =
e-1)
40
and Y(t) = sinh(2t)
%3D
%3D
40
OC X(t) =
40
and Y(t) = sinh(t)
%3D
2
= 40 e--1 sinh(2t)
and y(t) = 40
%3D
40
OE X(t) =
-1)
and Y(t) = cosh(2t)
40
%3D
Transcribed Image Text:Solve the system y'-2x-2y 40, x'+y'-2y = 0, x(0) = y(0) = 0. O A None of these. 40 O B. X(t) = e-1) 40 and Y(t) = sinh(2t) %3D %3D 40 OC X(t) = 40 and Y(t) = sinh(t) %3D 2 = 40 e--1 sinh(2t) and y(t) = 40 %3D 40 OE X(t) = -1) and Y(t) = cosh(2t) 40 %3D
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