diff options
Diffstat (limited to 'Tutorial04-ODE/Problems/Tut04.tex')
-rw-r--r-- | Tutorial04-ODE/Problems/Tut04.tex | 19 |
1 files changed, 19 insertions, 0 deletions
diff --git a/Tutorial04-ODE/Problems/Tut04.tex b/Tutorial04-ODE/Problems/Tut04.tex new file mode 100644 index 0000000..9106a2c --- /dev/null +++ b/Tutorial04-ODE/Problems/Tut04.tex @@ -0,0 +1,19 @@ +\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 |