The Abel equation of the first kind is given by
 |
(Murphy 1960, p. 23; Zwillinger 1997, p. 120), and the Abel equation of the second kind by
![[g_0(x)+g_1(x)y]y^'=f_0(x)+f_1(x)y+f_2(x)y^2+f_3(x)y^3](/images/equations/AbelsDifferentialEquation/NumberedEquation2.svg) |
(Murphy 1960, p. 25; Zwillinger 1997, p. 120).
Abel's Differential Equation
See also
Abel's Differential Equation IdentityExplore with Wolfram|Alpha
References
Murphy, G. M. Ordinary Differential Equations and Their Solution. Princeton, NJ: Van Nostrand, 1960.Zwillinger, D. Handbook of Differential Equations, 3rd ed. Boston, MA: Academic Press, p. 120, 1997.Referenced on Wolfram|Alpha
Abel's Differential EquationCite this as:
Weisstein, Eric W. "Abel's Differential Equation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/AbelsDifferentialEquation.html