solve the remaining differential equation for x. Choose the c cos (21) + C sin (21) cos (21) + C₂ sin (21)+ 21 -21 3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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
2x+y'-8x-6y=e"!
x'+y' + 6x + 4y = e¹
Eliminate and solve the remaining differential equation for x. Choose the correct answer below.
A. x(t)=C₁ cos (21) + C sin (21)
B. x(t) = C₁ cos (2t) + C₂ sin (21) +5€
ⒸC. X(t)=C₁ e ²¹+ C₂
OD. x(t) = C₁ e 2¹ cos (21) + C₂ e 2¹sin (21) + e
Now find you that yft) and the solution for x(t) found in the previous step are a general solution to the system of differential equations.
y(t) =
-21
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'-8x-6y=e"! x'+y' + 6x + 4y = e¹ Eliminate and solve the remaining differential equation for x. Choose the correct answer below. A. x(t)=C₁ cos (21) + C sin (21) B. x(t) = C₁ cos (2t) + C₂ sin (21) +5€ ⒸC. X(t)=C₁ e ²¹+ C₂ OD. x(t) = C₁ e 2¹ cos (21) + C₂ e 2¹sin (21) + e Now find you that yft) and the solution for x(t) found in the previous step are a general solution to the system of differential equations. y(t) = -21
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