Question

The given initial-value problem is represented by the system of linear differential equations: $\begin{bmatrix} 1 & -1 \\ 1 & 3 \end{bmatrix} X + \begin{bmatrix} t \\ t+1 \end{bmatrix}$ with the initial condition $X(0) = \begin{bmatrix} 5 \\ 4 \end{bmatrix}.$

          The given initial-value problem is represented by the system of linear differential equations:
$\begin{bmatrix} 1 & -1 \\ 1 & 3 \end{bmatrix} X + \begin{bmatrix} t \\ t+1 \end{bmatrix}$
with the initial condition $X(0) = \begin{bmatrix} 5 \\ 4 \end{bmatrix}.$

The given initial-value problem is represented by the system of linear differential equations:
< b m a t r i x >
X +
< b m a t r i x >
with the initial condition X(0) =
< b m a t r i x >
.

Added by Carrie O.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sri K

08/24/2023

Step 1

Step 1: The given system of linear differential equations can be written in matrix form as: \[ \frac{dX}{dt} = \begin{pmatrix} 1 & -1 \\ 1 & 3 \end{pmatrix} X + \begin{pmatrix} 0 \\ \frac{t}{t+1} \end{pmatrix} \] Show more…

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The given initial-value problem is represented by the system of linear differential equations: 1 -1 1 3 X + t/(t+1) with the initial condition X(0) = 5 4