cbicon.png CALCULUS Understanding Its Concepts and Methods

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Slope field

The slope field determined by a function $f(x,y)$ consists of short line segments, the segment at the point $(x,y)$ having slope $f(x,y) $. These segments are pieces of tangent lines to solutions of the differential equationMATHIn case the function $f(x,y)$ is equal to a function of $x$ alone---that is, MATH---then solutions to this equation are simply antiderivatives of $g(x)$.

The slope field for the function MATH is given below.

cb0402slopefield2.png
Slope field of MATH


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Copyright © 2006 Darel Hardy, Fred Richman, Carol Walker, Robert Wisner. All rights reserved. Except upon the express prior permission in writing, from the authors, no part of this work may be reproduced, transcribed, stored electronically, or transmitted in any form by any method.

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