Integral Curve


A particular solution to a differential equation corresponding to a specific value of the equation's free parameters. For example, the integral curves of the differential equation y^'+x^2+x=0, given by y=-x^2/2-x^3/3+C, are illustrated above for a range of values of C between -2 and 2.

See also

Family of Curves

Explore with Wolfram|Alpha


Gray, A. Modern Differential Geometry of Curves and Surfaces with Mathematica, 2nd ed. Boca Raton, FL: CRC Press, p. 560, 1997.Harris, J. W. and Stocker, H. Handbook of Mathematics and Computational Science. New York: Springer-Verlag, p. 649, 1998.

Referenced on Wolfram|Alpha

Integral Curve

Cite this as:

Weisstein, Eric W. "Integral Curve." From MathWorld--A Wolfram Web Resource.

Subject classifications