4. Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. 2x' +y' - 3x - 6y = e - 2t x'+y' +7x+2y = et Eliminate y and solve the remaining differential equation for x. Choose the correct answer below. O A. x(t) = C, e ,6t + Cate 6t O B. x(t) = C, e 6t. + C2 e -6t OC. x(t) = C, cos (6t) + C2 sin (6t) O D. x(t) = C, e 6t cos (6t) + C2 e6l sin (6t) 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.
4. Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. 2x' +y' - 3x - 6y = e - 2t x'+y' +7x+2y = et Eliminate y and solve the remaining differential equation for x. Choose the correct answer below. O A. x(t) = C, e ,6t + Cate 6t O B. x(t) = C, e 6t. + C2 e -6t OC. x(t) = C, cos (6t) + C2 sin (6t) O D. x(t) = C, e 6t cos (6t) + C2 e6l sin (6t) 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:4. Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t.
- 2t
2x' + y'-3x - 6y = e
x' +y' + 7x + 2y = et
Eliminate y and solve the remaining differential equation for x. Choose the correct answer below.
,6t
O A. X(t) = C, e
+ Cote 6t
O B. X(t) = C, e
6t
- 6t
C2
O c. x(t) = C1 cos (6t) + C2 sin (6t)
D. x(t) = C, e
cos (6t) + C2 e of sin (6t)
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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