the elimination method to find a general solution for the given linear system, where differentiation is with respect to t dt dy dt = 5x-3y = 3x + 5y Eliminate x and solve the remaining differential equation for y. Choose the correct answer below. A. y(t)=C₁e³t+C₂test B. y(t)=C₁est cos 3t+C₂est sin 3t OC. y(t)=C₁e5t cos 3t+C₂e" -5t OD. y(t)=C₁e St+C₂te-St DE. The system is degenerate. low 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)= OB. The system is degenerate. sin 3t
the elimination method to find a general solution for the given linear system, where differentiation is with respect to t dt dy dt = 5x-3y = 3x + 5y Eliminate x and solve the remaining differential equation for y. Choose the correct answer below. A. y(t)=C₁e³t+C₂test B. y(t)=C₁est cos 3t+C₂est sin 3t OC. y(t)=C₁e5t cos 3t+C₂e" -5t OD. y(t)=C₁e St+C₂te-St DE. The system is degenerate. low 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)= OB. The system is degenerate. sin 3t
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.
dx
dt
dy
dt
= 5x-3y
= 3x + 5y
Eliminate x and solve the remaining differential equation for y. Choose the correct answer below.
O A. y(t)=C₁e5t+C₂test
OB. y(t) = C₁ est cos 3t+ C₂e5t sin 3t
- 5t
OC. y(t)=C₁e5t cos 3t+C₂e
sin 3t
OD. y(t) = C₁e5t + C₂te-St
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.
O A. x(t) =
OB. The system is degenerate.
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