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2.270   ODE No. 270

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

x2+(y(x)2−x)y′(x)−y(x)=0 ✓ Mathematica : cpu = 16.1169 (sec), leaf count = 327

{{y(x)→−323x(81c1+27x3)2−2916x3+81c1+27x33−(81c1+27x3)2−2916x3+81c1+27x33323},{y(x)→3(1+i3)x22/3(81c1+27x3)2−2916x3+81c1+27x33+(1−i3)(81c1+27x3)2−2916x3+81c1+27x33623},{y(x)→3(1−i3)x22/3(81c1+27x3)2−2916x3+81c1+27x33+(1+i3)(81c1+27x3)2−2916x3+81c1+27x33623}}

✓ Maple : cpu = 0.024 (sec), leaf count = 402

{y(x)=12−4x3−12_C1+4x6+6x3_C1−4x3+9_C123+2x−4x3−12_C1+4x6+6x3_C1−4x3+9_C123,y(x)=−14−4x3−12_C1+4x6+6x3_C1−4x3+9_C123−x1−4x3−12_C1+4x6+6x3_C1−4x3+9_C123−i23(12−4x3−12_C1+4x6+6x3_C1−4x3+9_C123−2x−4x3−12_C1+4x6+6x3_C1−4x3+9_C123),y(x)=−14−4x3−12_C1+4x6+6x3_C1−4x3+9_C123−x1−4x3−12_C1+4x6+6x3_C1−4x3+9_C123+i23(12−4x3−12_C1+4x6+6x3_C1−4x3+9_C123−2x−4x3−12_C1+4x6+6x3_C1−4x3+9_C123)}

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