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variants of this functions
EllipticTheta






Mathematica Notation

Traditional Notation









Elliptic Functions > EllipticTheta[4,z,q] > Differential equations > Ordinary nonlinear differential equations





http://functions.wolfram.com/09.04.13.0002.01









  


  










Input Form





(30 Derivative[1][w][\[Tau]]^3 - 15 w[\[Tau]] Derivative[1][w][\[Tau]] Derivative[2][w][\[Tau]] + w[\[Tau]]^2 Derivative[3][w][\[Tau]])^2 - 32 (3 Derivative[1][w][\[Tau]]^2 - w[\[Tau]] Derivative[2][w][\[Tau]])^3 + Pi^2 w[\[Tau]]^10 (w[\[Tau]] Derivative[2][w][\[Tau]] - 3 Derivative[1][w][\[Tau]]^2)^2 == 0 /; w[\[Tau]] == EllipticTheta[4, 0, E^(I Pi \[Tau])]










Standard Form





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MathML Form







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</ci> </apply> <cn type='integer'> 2 </cn> </apply> <apply> <partialdiff /> <bvar> <ci> &#964; </ci> <degree> <cn type='integer'> 3 </cn> </degree> </bvar> <apply> <ci> w </ci> <ci> &#964; </ci> </apply> </apply> </apply> </apply> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 0 </cn> </apply> <apply> <eq /> <apply> <ci> w </ci> <ci> &#964; </ci> </apply> <apply> <ci> EllipticTheta </ci> <cn type='integer'> 4 </cn> <cn type='integer'> 0 </cn> <apply> <power /> <exponentiale /> <apply> <times /> <imaginaryi /> <pi /> <ci> &#964; </ci> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29





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