Find a general solution of the linear system below. x'= - 12x + 4y, y'' = 3x - 13y Solve for x(t). Choose the correct answer below. A. x(t) = C₁ cos 3t + C₂ sin 3t+ c3 cos 4t + c4 sin 4t B. X(t) = C₁ cos 9t + c2 sin 9t + c3 cos 16t + c4 sin 16t C. X(t)=C₁e 16t 9t + Cze D. x(t) = C₁ e - 9t - 3t + C₂ + 3t + C3 16t - 4t +C4e + C4e4t 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. y(t) =
Find a general solution of the linear system below. x'= - 12x + 4y, y'' = 3x - 13y Solve for x(t). Choose the correct answer below. A. x(t) = C₁ cos 3t + C₂ sin 3t+ c3 cos 4t + c4 sin 4t B. X(t) = C₁ cos 9t + c2 sin 9t + c3 cos 16t + c4 sin 16t C. X(t)=C₁e 16t 9t + Cze D. x(t) = C₁ e - 9t - 3t + C₂ + 3t + C3 16t - 4t +C4e + C4e4t 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. y(t) =
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Systems Of Linear Equations
Section1.1: Introduction To Systems Of Linear Equations
Problem 90E: Consider the system of linear equations in x and y. ax+by=ecx+dy=f Under what conditions will the...
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