Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. -t 2x' + y' - 3x - 4y = e ¯ 4t x' +y'+ 3x + y = e 3t O B. x(t) = C, e + C2t e C. x(t) = C, cos (3t) + C2 sin (3t) 3t 3t O D. x(t) = C, e cos (3t) + C2 e sin (3t) O E. The system is degenerate. Now find y(t) so that y(t) and the solution for x(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. y(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. -t 2x' + y' - 3x - 4y = e ¯ 4t x' +y'+ 3x + y = e 3t O B. x(t) = C, e + C2t e C. x(t) = C, cos (3t) + C2 sin (3t) 3t 3t O D. x(t) = C, e cos (3t) + C2 e sin (3t) O E. The system is degenerate. Now find y(t) so that y(t) and the solution for x(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. y(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.
2x' +y' - 3x- 4y = e -t
x' +y' + 3x + y
4t
= e
3t
O B. x(t) = C, e + C2t e "
YC. x(t) = C, cos (3t) + C2 sin (3t)
3t
3t
O D. X(t) = C, e" cos (3t) + C2 e sin (3t)
O E. The system is degenerate.
Now find y(t) so that y(t) and the solution for x(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. y(t) =
O B. The system is degenerate.
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