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Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. x' = 4x-y y' = 4y - x Eliminate x and solve the remaining differential equation for y. Choose the correct answer below. A. y(t) = C, e 3t + Czte 30 O B. y(t) = C, e 3t +C2 e 5t -3t - 5t OC. y(t) = C, e3+ C2 e O D. y(t) = C, e 5t + C2t e 5 O E. 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' = 4x-y y' = 4y - x Eliminate x and solve the remaining differential equation for y. Choose the correct answer below. A. y(t) = C, e 3t + Czte 30 O B. y(t) = C, e 3t +C2 e 5t -3t - 5t OC. y(t) = C, e3+ C2 e O D. y(t) = C, e 5t + C2t e 5 O E. The system is degenerate.

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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Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. x' = 4x-y y' = 4y - x Eliminate x and solve the remaining differential equation for y. Choose the correct answer below. A. y(t) = C, e 3t + Czte 30 O B. y(t) = C, e 3t +C2 e 5t -3t - 5t OC. y(t) = C, e3+ C2 e O D. y(t) = C, e 5t + Czte 5t 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) = 5t - C2 e 9*) O B. The system is degenerate.
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' = 4x-y y' = 4y - x Eliminate x and solve the remaining differential equation for y. Choose the correct answer below. A. y(t) = C, e 3t + Czte 30 O B. y(t) = C, e 3t +C2 e 5t -3t - 5t OC. y(t) = C, e3+ C2 e O D. y(t) = C, e 5t + Czte 5t 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) = 5t - C2 e 9*) O B. The system is degenerate.
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