First order differential equation.

Description
The first order differential equation is defined and explained. The geometrical view of first order differential equations is shown. Direction field and integral curve are defined with respect to first order differential equation. The conditions that a differential equation is solvable are discussed. The slope of the directional field is calculated. Isoclines are defined and explained. Domain of solution of integral curves is calculated.
Prof. Arthur Mattuck, Maths, 18.03.Differential Equations, Spring 2010: 1: The Geometrical View of y'= f(x,y): Massachusetts Institute of Technology: MIT Open Course Ware),http://ocw.mit.edu (Accessed November 2, 2011). License: Creative Commons BY-NC-SA: http://ocw.mit.edu/terms/#cc