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(1 point) Let $$x(t) = \begin{bmatrix} x_1(t) \\ x_2(t) \end{bmatrix}$$ be a solution to the system of differential equations: $$x_1'(t) = -27x_1(t) + 10x_2(t)$$ $$x_2'(t) = -50x_1(t) + 18x_2(t)$$ If $$x(0) = \begin{bmatrix} 5 \\ -1 \end{bmatrix}$$, find $$x(t)$$. Put the eigenvalues in ascending order when you enter $$x_1(t), x_2(t)$$ below. $$x_1(t) = \boxed{\phantom{blank}} \exp(\boxed{\phantom{blank}}t) + \boxed{\phantom{blank}} \exp(\boxed{\phantom{blank}}t)$$ $$x_2(t) = \boxed{\phantom{blank}} \exp(\boxed{\phantom{blank}}t) + \boxed{\phantom{blank}} \exp(\boxed{\phantom{blank}}t)$$

          (1 point)
Let $$x(t) = \begin{bmatrix} x_1(t) \\ x_2(t) \end{bmatrix}$$ be a solution to the system of differential equations:
$$x_1'(t) = -27x_1(t) + 10x_2(t)$$
$$x_2'(t) = -50x_1(t) + 18x_2(t)$$
If $$x(0) = \begin{bmatrix} 5 \\ -1 \end{bmatrix}$$, find $$x(t)$$.
Put the eigenvalues in ascending order when you enter $$x_1(t), x_2(t)$$ below.
$$x_1(t) = \boxed{\phantom{blank}} \exp(\boxed{\phantom{blank}}t) + \boxed{\phantom{blank}} \exp(\boxed{\phantom{blank}}t)$$
$$x_2(t) = \boxed{\phantom{blank}} \exp(\boxed{\phantom{blank}}t) + \boxed{\phantom{blank}} \exp(\boxed{\phantom{blank}}t)$$

1 point let xt beginbmatrix x1t x2t endbmatrix be a solution to the system of differential equations x1t 27x1t 10x2t x2t 50x1t 18x2t if x0 beginbmatrix 5 1 endbmatrix find xt put the 99723

Added by Monique J.

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