Isocline

The term isocline derives from the Greek words for "same slope." For a first-order ordinary differential equation  is, a curve with equation  for some constant  is known as an isocline. In other words, all the solutions of the ordinary differential equation intersecting that curve have the same slope . Isoclines can be used as a graphical method of solving an ordinary differential equation.

The term is also used to refer to points on maps of the world having identical magnetic inclinations.

REFERENCES:

Hollis, S. Differential Equations with Boundary Value Problems. Upper Saddle River, NJ: Prentice Hall, p. 53, 2002.

Kármán, T. von and Biot, M. A. Mathematical Methods in Engineering: An Introduction to the Mathematical Treatment of Engineering Problems. New York: McGraw-Hill, pp. 3 and 7, 1940.