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authorChayan Bhawal2018-10-02 10:19:33 +0530
committerChayan Bhawal2018-10-02 10:19:33 +0530
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+\documentclass[10pt,a4paper]{article}
+\usepackage[utf8]{inputenc}
+\usepackage{amsmath}
+\usepackage{amsfonts}
+\usepackage{amssymb}
+\begin{document}
+\title{Problems for Tutorial-04: \\Ordinary Differential equations}
+\date{}
+\maketitle
+\begin{enumerate}
+\item Find the solution of the differential equation at time $t = 10$
+\begin{align*}
+ \dot{x}_1 &= -x_1 + 3 x_2 + 2\\
+ \dot{x}_2 &= -2 x_2 + 1
+\end{align*}
+Consider the initial condition be $(0.1,0.2)$ at $t = 0$.
+\item Plot the solution of the above differential $(x_1,x_2)$ for $t \in [0.2,10]$.
+\end{enumerate}
+\end{document} \ No newline at end of file