Find a fundamental matrix of the following system, and then apply x(t)=(t)(0) 1x to find a solution satisfying the initial conditions. -6-2 x' = x, x(0)= 36 6 1+2t - 6-2 e-6t| 2 cos 6t - 2 sin 6t C. (t)= - 6 cos 6t + 6 sin 6t 6 cos 6t + 6 sin 6t - 6t - 2e - 6t OD. (t)= 6e -2 e 6t -6t 6e Find a solution satisfying the given initial condition. x(t) = (Use integers or fractions for any numbers in the expression.)
Find a fundamental matrix of the following system, and then apply x(t)=(t)(0) 1x to find a solution satisfying the initial conditions. -6-2 x' = x, x(0)= 36 6 1+2t - 6-2 e-6t| 2 cos 6t - 2 sin 6t C. (t)= - 6 cos 6t + 6 sin 6t 6 cos 6t + 6 sin 6t - 6t - 2e - 6t OD. (t)= 6e -2 e 6t -6t 6e Find a solution satisfying the given initial condition. x(t) = (Use integers or fractions for any numbers in the expression.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 31E
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