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Halm ODEs
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Description
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The general form of the Halm ODE is given by the following:
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Halm_ode := (1+x^2)^2*diff(y(x),x,x)+lambda*y(x) = 0;
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See Hille, "Lectures on Ordinary Differential Equations", p. 357. The solution to this ODE can be expressed in terms of the hypergeometric function; see hypergeom.
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Examples
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![[odeadvisor]](/support/helpjp/helpview.aspx?si=7231/file04353/math31.png)
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![[_Halm]](/support/helpjp/helpview.aspx?si=7231/file04353/math38.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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