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3.900   ODE No. 900

ddxy(x)=2a(−(y(x))2+4ax−1)−(y(x))3+4axy(x)−y(x)−2a(y(x))6+24(y(x))4a2x−96(y(x))2a3x2+128a4x3=0

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

Mathematica: cpu = 0.091011 (sec), leaf count = 381 {{y(x)→Root[8#15a−16#14a2c1−64#13a2x+#12(128a3c1x−2)+128#1a3x2−256a4c1x2+8ax−1&,1]},{y(x)→Root[8#15a−16#14a2c1−64#13a2x+#12(128a3c1x−2)+128#1a3x2−256a4c1x2+8ax−1&,2]},{y(x)→Root[8#15a−16#14a2c1−64#13a2x+#12(128a3c1x−2)+128#1a3x2−256a4c1x2+8ax−1&,3]},{y(x)→Root[8#15a−16#14a2c1−64#13a2x+#12(128a3c1x−2)+128#1a3x2−256a4c1x2+8ax−1&,4]},{y(x)→Root[8#15a−16#14a2c1−64#13a2x+#12(128a3c1x−2)+128#1a3x2−256a4c1x2+8ax−1&,5]}}

Maple: cpu = 0.063 (sec), leaf count = 46 {y(x)2a−18a2((y(x))2−4ax)−116a2((y(x))2−4ax)2−_C1=0}

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