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The Error Function (erf) ODE
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Description
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The general form of the erf ODE is given by
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erf_ode := diff(y(x),x,x)+2*x*diff(y(x),x)-2*n*y(x) = 0;
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where n is an integer. See Abramowitz and Stegun, "Handbook of Mathematical Functions", section 7.2.2. The solution of this type of ODE can be expressed in terms of the WhittakerM and WhittakerW functions.
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Examples
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![[odeadvisor]](/support/helpjp/helpview.aspx?si=7236/file04367/math37.png)
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![[_erf]](/support/helpjp/helpview.aspx?si=7236/file04367/math44.png)
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See Also
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DEtools, odeadvisor, dsolve, and ?odeadvisor,<TYPE> where <TYPE> is one of: quadrature, missing, reducible, linear_ODEs, exact_linear, exact_nonlinear, sym_Fx, linear_sym, Bessel, Painleve, Halm, Gegenbauer, Duffing, ellipsoidal, elliptic, erf, Emden, Jacobi, Hermite, Lagerstrom, Laguerre, Liouville, Lienard, Van_der_Pol, Titchmarsh; for other differential orders see odeadvisor,types.
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