Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. 2x' + y' - 4x -бу —D е -t x' +y' + 8x + 3y = et B. x(t) = C, cos (6t) + C, sin (6t) + 2 -t e + 37 37 O C. x(t) = C, e 6t cos (6t) + C, e 6t sin (6t) + e 37 37 O D. X(t) = C, cos (6t) + C, sin (6t) 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. y(t) = |
Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. 2x' + y' - 4x -бу —D е -t x' +y' + 8x + 3y = et B. x(t) = C, cos (6t) + C, sin (6t) + 2 -t e + 37 37 O C. x(t) = C, e 6t cos (6t) + C, e 6t sin (6t) + e 37 37 O D. X(t) = C, cos (6t) + C, sin (6t) 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. y(t) = |
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' - 4x - бу 3D е
- t
x' +y' + 8x + 3y = et
2
5
-t
B. x(t) = C, cos (6t) + C, sin (6t) +
et
+
e
37
37
5
O C. X(t) = C, e
2
-t
et
37
6t
cos (6t) + C,
6t
e
sin (6t) +
37
O D. X(t) = C, cos (6t) + C, sin (6t)
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.
y(t) =|
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