dx 3x – 5y dx = 3x – y + 2z +t-1 dt dt (a) dy = 4x + 8y dt dy (b) 2x -z- 3t2 dt dz x+y+z+t? dt
dx 3x – 5y dx = 3x – y + 2z +t-1 dt dt (a) dy = 4x + 8y dt dy (b) 2x -z- 3t2 dt dz x+y+z+t? dt
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Problem 1.** For each part below, write the linear system in matrix form.
(a)
\[
\begin{cases}
\frac{dx}{dt} = 3x - 5y \\
\frac{dy}{dt} = 4x + 8y
\end{cases}
\]
(b)
\[
\begin{cases}
\frac{dx}{dt} = 3x - y + 2z + t - 1 \\
\frac{dy}{dt} = 2x - z - 3t^2 \\
\frac{dz}{dt} = -x + y + z + t^2
\end{cases}
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Transcribed Image Text:**Problem 1.** For each part below, write the linear system in matrix form.
(a)
\[
\begin{cases}
\frac{dx}{dt} = 3x - 5y \\
\frac{dy}{dt} = 4x + 8y
\end{cases}
\]
(b)
\[
\begin{cases}
\frac{dx}{dt} = 3x - y + 2z + t - 1 \\
\frac{dy}{dt} = 2x - z - 3t^2 \\
\frac{dz}{dt} = -x + y + z + t^2
\end{cases}
\]
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