Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. 2x' + y' – x – 3y = e - 2t x' +y' + 6x + 2y = e 3t Eliminate y and solve the remaining differential equation for x. Choose the correct answer below. O A. x(t) = C, e“ +Czte t O B. x(t) = C, e“ cos (4t) + C2 e 4t sin (4t) C. x(t)= C, cos (4t) + C2 sin (4t) 4t O D. X(t) = C, e “ + C2 e 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. 2x' + y' – x – 3y = e - 2t x' +y' + 6x + 2y = e 3t Eliminate y and solve the remaining differential equation for x. Choose the correct answer below. O A. x(t) = C, e“ +Czte t O B. x(t) = C, e“ cos (4t) + C2 e 4t sin (4t) C. x(t)= C, cos (4t) + C2 sin (4t) 4t O D. X(t) = C, e “ + C2 e 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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