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3.914   ODE No. 914

ddxy(x)=2a(x(y(x))2−4a+x)−x3(y(x))3+4ax2y(x)−x3y(x)+2a(y(x))6x3−24(y(x))4a2x2+96(y(x))2xa3−128a4=0

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

Mathematica: cpu = 1.504191 (sec), leaf count = 401 {{y(x)→Root[8#15ax2−8#14ac1x2−64#13a2x+#12(64a2c1x+2x2)+128#1a3−128a3c1−8ax+x2&,1]},{y(x)→Root[8#15ax2−8#14ac1x2−64#13a2x+#12(64a2c1x+2x2)+128#1a3−128a3c1−8ax+x2&,2]},{y(x)→Root[8#15ax2−8#14ac1x2−64#13a2x+#12(64a2c1x+2x2)+128#1a3−128a3c1−8ax+x2&,3]},{y(x)→Root[8#15ax2−8#14ac1x2−64#13a2x+#12(64a2c1x+2x2)+128#1a3−128a3c1−8ax+x2&,4]},{y(x)→Root[8#15ax2−8#14ac1x2−64#13a2x+#12(64a2c1x+2x2)+128#1a3−128a3c1−8ax+x2&,5]}}

Maple: cpu = 2.247 (sec), leaf count = 77 {−12a(−(y(x))2+1(y(x))4(x(y(x))2−4a)−2a(y(x))4(x(y(x))2−4a)2)+14a2(2ay(x)+12(y(x))2+14(y(x))4)+_C1=0}

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