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 Curves## Explore 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 Curve## Cite this as:

Weisstein, Eric W. "Integral Curve." From
*MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/IntegralCurve.html