Use the elimination method to find a general solution for the given linear system, where differentiation is with dx x- 4y dt dy = 4x+y dt ... A. Y(t) = C, e' cos 4t + C, e' sin 4t O B. y(t) = C, e -'cos 4t + C2 e ' sin 4t O. yt) = C, e' +Czte' O D. Y(t) = C, e -t +Czte t 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 syst 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.

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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.
dx
= x-4y
dt
dy
= 4x+y
dt
A. y(t) = C, e' cos 4t + C, e'sin 4t
O B. y(t) = C, e ¯'cos 4t + C2 e
-t
sin 4t
Oc. y(t) = C, e' + C2te'
O D. y(t) = C, e
+ Czte
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.
A. x(t) =
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. dx = x-4y dt dy = 4x+y dt A. y(t) = C, e' cos 4t + C, e'sin 4t O B. y(t) = C, e ¯'cos 4t + C2 e -t sin 4t Oc. y(t) = C, e' + C2te' O D. y(t) = C, e + Czte 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. A. x(t) = B. The system is degenerate.
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