From 3d0c890de4ac7d9afd576e889bd2624437d79c70 Mon Sep 17 00:00:00 2001 From: Chayan Bhawal Date: Tue, 2 Oct 2018 10:19:33 +0530 Subject: Renamed_files_relative_path --- Tutorial04-ODE/Problems/Tut04.tex | 19 +++++++++++++++++++ 1 file changed, 19 insertions(+) create mode 100644 Tutorial04-ODE/Problems/Tut04.tex (limited to 'Tutorial04-ODE/Problems/Tut04.tex') 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 -- cgit