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8.214   ODE No. 1804

(4(y(x))3−ay(x)−b)d2dx2y(x)−(6(y(x))2−a/2)(ddxy(x))2=0

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

Mathematica: cpu = 2.998381 (sec), leaf count = 415 Solve[2y(x)−Root[4#13−#1a−b&,1]Root[4#13−#1a−b&,3]−Root[4#13−#1a−b&,1]y(x)−Root[4#13−#1a−b&,2]Root[4#13−#1a−b&,3]−Root[4#13−#1a−b&,2](y(x)−Root[4#13−#1a−b&,3])F(sin−1⁡(Root[4#13−a#1−b&,3]−y(x)Root[4#13−a#1−b&,3]−Root[4#13−a#1−b&,2])|Root[4#13−a#1−b&,2]−Root[4#13−a#1−b&,3]Root[4#13−a#1−b&,1]−Root[4#13−a#1−b&,3])c12ay(x)+2b−8y(x)3y(x)−Root[4#13−#1a−b&,3]Root[4#13−#1a−b&,2]−Root[4#13−#1a−b&,3]=c2+x,y(x)]

Maple: cpu = 0.031 (sec), leaf count = 31 {∫y(x)14_a3−a_a−bd_a−_C1x−_C2=0}

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