Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. x' = 3x - 4y + sint y' = 2x- y - cost %3D Eliminate x and solve the remaining differential equation for y. Choose the correct answer below. 9 3 O A. y(t) = C, e -t cos 2t + C2 e - sin 2t + cost+ 10 10 sin t 3 O B. y(t) = C, e'+ Czte'+ cost+ 10 10 sint 3 OC. y(t) = C, e -t+Czte -1+ cost+ 10 1O sint 이 3 O D. y(t) = C, e' cos 2t + C2 e' sin 2t + 10 sint 10 ost+ O E. The system is degenerate. Now find x(t) so that x(t) and the solution for y(t) found in the previous step are a general solution to the system of differential equations. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. X(t) = O B. The system is degenerate.
Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. x' = 3x - 4y + sint y' = 2x- y - cost %3D Eliminate x and solve the remaining differential equation for y. Choose the correct answer below. 9 3 O A. y(t) = C, e -t cos 2t + C2 e - sin 2t + cost+ 10 10 sin t 3 O B. y(t) = C, e'+ Czte'+ cost+ 10 10 sint 3 OC. y(t) = C, e -t+Czte -1+ cost+ 10 1O sint 이 3 O D. y(t) = C, e' cos 2t + C2 e' sin 2t + 10 sint 10 ost+ O E. The system is degenerate. Now find x(t) so that x(t) and the solution for y(t) found in the previous step are a general solution to the system of differential equations. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. X(t) = O B. The system is degenerate.
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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Transcribed Image Text:Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t.
x' = 3x - 4y + sint
y' = 2x- y - cost
%3D
Eliminate x and solve the remaining differential equation for y. Choose the correct answer below.
9
3
O A. y(t) = C, e -t cos 2t + C2 e - sin 2t +
cost+
10
10
sin t
3
O B. y(t) = C, e'+ Czte'+
cost+
10
10 sint
3
OC. y(t) = C, e -t+Czte
-1+
cost+
10
1O sint
이
3
O D. y(t) = C, e' cos 2t + C2 e' sin 2t +
10
sint
10
ost+
O E. The system is degenerate.
Now find x(t) so that x(t) and the solution for y(t) found in the previous step are a general solution to the system of differential equations. Select the correct choice
below and, if necessary, fill in the answer box to complete your choice.
O A. X(t) =
O B. The system is degenerate.
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