full form of the eqns.tex

eqns.tex

+\documentclass[10pt,a4paper]{report}
+\usepackage[utf8]{inputenc}
+\usepackage[english]{babel}
+\usepackage{amsmath}
+\usepackage{amsfonts}
+\usepackage{amssymb}
+\usepackage{graphicx}
+\usepackage[left=2cm,right=2cm,top=2cm,bottom=2cm]{geometry}
+\author{Jigyasa Watwani}
+\begin{document}
+\begin{eqnarray}
+\partial_t u = v \\
+v = K \partial_x^2 u  + \eta \partial_x^2 v + \lambda \partial_x (\rho c)\\
+\partial_t \rho = -\partial_x(\rho v) + D_{\rho}\partial_x^2 \rho - k_{\rho}( \rho - \rho_0) + f(c,\rho,u) \\
+\partial_t c = -\partial_x(c v) + D_c \partial_x^2 c - k_{c}(c-c_0) + F(c,\rho,u)
+\end{eqnarray}
+
+\end{document}
\ No newline at end of file