Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t 2x' + y'-9x-9y = et x'+y' +2x+y = et Eliminate y and solve the remaining differential equation for x. Choose the correct answer below. -3t A. x(t)=C₁e³t+C₂₁² B. X(t)=C₁ cos (3t) + C₂ sin (31) O c. x(t)=C₁e³ cos (3t) + C₂e³t sin (31) C₂te³t OD. x(t)=C₁e³t+ OE. The system is degenerate. CODE 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) = OB. 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'-9x-9y = et x'+y' +2x+y = et Eliminate y and solve the remaining differential equation for x. Choose the correct answer below. -3t A. x(t)=C₁e³t+C₂₁² B. X(t)=C₁ cos (3t) + C₂ sin (31) O c. x(t)=C₁e³ cos (3t) + C₂e³t sin (31) C₂te³t OD. x(t)=C₁e³t+ OE. The system is degenerate. CODE 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) = OB. 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:Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t
2x' + y'-9x-9y = et
x'+y' +2x+y = et
Eliminate y and solve the remaining differential equation for x. Choose the correct answer below.
-3t
OA. x(t)=C₁e³t+C₂e
B. X(t)=C₁ cos (3t) + C₂ sin (31)
O c. x(t)=C₁e³ cos (3t) + C₂e³t sin (31)
C₂te³t
OD. x(t)=C₁e³t+
OE. 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) =
OB. The system is degenerate.
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