Use the elimination method to find a general solution for the given linear system, where differentiation i with respect tot. dx = 3x - 4y dt dy = 4x +3y dt Eliminate x and solve the remaining differential equation for y. Choose the correct answer below. VA. y(t) = C, e3 cos 4t + C2 e 3 sin 4t O B. y(t) =C, e 3 + Czte -31 OC. y(t) = C, e -* cos 4t + Cz e -3t sin 4t O D. y(t) = C, e 31 +Czte3t 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 complete your choice. O A. x(t) = O B. The system is degenerate.
Use the elimination method to find a general solution for the given linear system, where differentiation i with respect tot. dx = 3x - 4y dt dy = 4x +3y dt Eliminate x and solve the remaining differential equation for y. Choose the correct answer below. VA. y(t) = C, e3 cos 4t + C2 e 3 sin 4t O B. y(t) =C, e 3 + Czte -31 OC. y(t) = C, e -* cos 4t + Cz e -3t sin 4t O D. y(t) = C, e 31 +Czte3t 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 complete your choice. O A. x(t) = O B. 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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