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2.900   ODE No. 900

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

y′(x)=2a(4ax−y(x)2−1)128a4x3−96a3x2y(x)2+24a2xy(x)4−2ay(x)6+4axy(x)−y(x)3−y(x) ✓ Mathematica : cpu = 0.0970745 (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 = 0.074 (sec), leaf count = 46

{y(x)2a−18a2((y(x))2−4ax)−116a2((y(x))2−4ax)2−_C1=0}

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