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aining differential equation for 11 cost+ 40 7 sint 40 11 7 2e2t sin 5t+ cost+ 40 40 C2 e sin 5t + 11 cos t+ 40 11 cost+ 40 7 sint 40 - 21+

aining differential equation for 11 cost+ 40 7 sint 40 11 7 2e2t sin 5t+ cost+ 40 40 C2 e sin 5t + 11 cos t+ 40 11 cost+ 40 7 sint 40 - 21+

Advanced Engineering Mathematics
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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Needed to be solved correclty in 25 minutes and get the thumbs up please show neat and clean work. Please provide correct option double check your work
7. Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. x' = 7x - 10y + sint y' = 5x- 3y - cost Eliminate x and solve the remaining differential equation for y. Choose the correct answer below. 11 cost+ 40 7 O A. y(t) = C, e 21 + C,te 2t sint 40 11 7 sint 40 B. y(t) = C, e 2 cos 5t + C2 e 2t sin 5t + cos t+ 40 11 cost+ 40 7 sint 40 OC. y(t) = C, e cos 5t + C2 e - 2t sin 5t + 11 cost+ 40 7 O D. y(t) = C, e - 2t - 21 + C2te sin t 40 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.
Transcribed Image Text:7. Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. x' = 7x - 10y + sint y' = 5x- 3y - cost Eliminate x and solve the remaining differential equation for y. Choose the correct answer below. 11 cost+ 40 7 O A. y(t) = C, e 21 + C,te 2t sint 40 11 7 sint 40 B. y(t) = C, e 2 cos 5t + C2 e 2t sin 5t + cos t+ 40 11 cost+ 40 7 sint 40 OC. y(t) = C, e cos 5t + C2 e - 2t sin 5t + 11 cost+ 40 7 O D. y(t) = C, e - 2t - 21 + C2te sin t 40 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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