X T 4 0 0 8 3 4 1 0 50 14 2 0 0 X T Xo 4567 1 67 Points Use Theorem 1 On Page 350 To Solve The Above Syst 1 (25.8 KiB) Viewed 41 times
X T 4 0 0 8 3 4 1 0 50 14 2 0 0 X T Xo 4567 1 67 Points Use Theorem 1 On Page 350 To Solve The Above Syst 2 (20.43 KiB) Viewed 41 times
X' (t) = -4 0 0 8 -3 4 1 0-50 14 2 0 0 X(t) Xo= || 4567 1. (67 points) Use Theorem 1 on page 350 to solve the above system of differential equations (see section 5.6 video). 2. (33points) Use your solution to show that your solution solves the original system of differential equations.
THEOREM 1 Fundamental Matrix Solutions Let (t) be a fundamental matrix for the homogeneous linear system x' = Ax. Then the [unique] solution of the initial value problem x' = Ax, x(0) = xo is given by x(1)=(1)(0)-¹xo. (7) (8)
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