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 , given by , are illustrated above for a range of values of between and 2.
Integral Curve
See also
Family of CurvesExplore with Wolfram|Alpha
References
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 CurveCite this as:
Weisstein, Eric W. "Integral Curve." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/IntegralCurve.html