Question

(15 points) Solve the system \begin{equation} \frac{dx}{dt} = \begin{bmatrix} -7 & 3\\ -2 & -2 \end{bmatrix} x \end{equation} with the initial value \begin{equation} x(0) = \begin{bmatrix} 3\\ 1 \end{bmatrix} \end{equation}

          (15 points) Solve the system \begin{equation*}
\frac{dx}{dt} = \begin{bmatrix} -7 & 3\\ -2 & -2 \end{bmatrix} x
\end{equation*} with the initial value \begin{equation*} x(0) = \begin{bmatrix} 3\\ 1 \end{bmatrix} \end{equation*}

(15 points) Solve the system
(dx)/(dt) =
< b m a t r i x >
x
with the initial value
x(0) =
< b m a t r i x >

Added by Michael W.

Calculus: Early Transcendentals

James Stewart 8th Edition

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Solved by Expert Syed Mustafa

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Solve the system dx/dt = x(t) with the initial value x(0) = ?

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Question

(15 points) Solve the system \begin{equation*} \frac{dx}{dt} = \begin{bmatrix} -7 & 3\\ -2 & -2 \end{bmatrix} x \end{equation*} with the initial value \begin{equation*} x(0) = \begin{bmatrix} 3\\ 1 \end{bmatrix} \end{equation*}

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(15 points) Solve the system \begin{equation} \frac{dx}{dt} = \begin{bmatrix} -7 & 3\\ -2 & -2 \end{bmatrix} x \end{equation} with the initial value \begin{equation} x(0) = \begin{bmatrix} 3\\ 1 \end{bmatrix} \end{equation}