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ModularLambda






Mathematica Notation

Traditional Notation









Elliptic Functions > ModularLambda[z] > Differential equations > Ordinary nonlinear differential equations





http://functions.wolfram.com/09.51.13.0001.01









  


  










Input Form





486 (w[z] - 1)^4 ((w[z] - 1) w[z] + 1) Derivative[1][w][z] Derivative[3][w][z] w[z]^4 + 12 (w[z] - 2) (w[z] - 1) (w[z] + 1) (2 w[z] - 1) ((w[z] - 1) w[z] (w[z] (w[z] (7 (w[z] - 2) w[z] + 1) + 6) + 21) + 7) Derivative[1][w][z]^2 Derivative[2][w][z] w[z] + (112 - (w[z] - 1) w[z] ((w[z] - 1) w[z] ((w[z] - 1) w[z] ((w[z] - 1) w[z] (224 (w[z] - 1) w[z] - 827) + 410) - 1099) - 728)) Derivative[1][w][z]^4 - 729 (w[z] - 1)^4 w[z]^4 ((w[z] - 1) w[z] + 1) Derivative[2][w][z]^2 == 0 /; w[z] == ModularLambda[z]










Standard Form





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MathML Form







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<apply> <power /> <apply> <partialdiff /> <bvar> <ci> z </ci> </bvar> <apply> <ci> w </ci> <ci> z </ci> </apply> </apply> <cn type='integer'> 4 </cn> </apply> </apply> </apply> <cn type='integer'> 0 </cn> </apply> <apply> <eq /> <apply> <ci> w </ci> <ci> z </ci> </apply> <apply> <ci> ModularLambda </ci> <ci> z </ci> </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





© 1998- Wolfram Research, Inc.