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2.243   ODE No. 243

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

x(2y(x)+x−1)y′(x)−y(x)(y(x)+2x+1)=0 ✓ Mathematica : cpu = 15.3242 (sec), leaf count = 487

{{y(x)→−23x−27c12x2+108c13x3+(27c12x−27c12x2)2+27c12x3+−27c12x2+108c13x3+(27c12x−27c12x2)2+27c12x3323c1+c1x−c1c1},{y(x)→(1+i3)x22/3−27c12x2+108c13x3+(27c12x−27c12x2)2+27c12x3−(1−i3)−27c12x2+108c13x3+(27c12x−27c12x2)2+27c12x3623c1+c1x−c1c1},{y(x)→(1−i3)x22/3−27c12x2+108c13x3+(27c12x−27c12x2)2+27c12x3−(1+i3)−27c12x2+108c13x3+(27c12x−27c12x2)2+27c12x3623c1+c1x−c1c1}}

✓ Maple : cpu = 0.131 (sec), leaf count = 493

{y(x)=35340_C1x(580x2_C1−160_C1x+80_C1−x_C1+20x−20)_C123+3x52/3401x(580x2_C1−160_C1x+80_C1−x_C1+20x−20)_C123+x−1,y(x)=−35380_C1x(580x2_C1−160_C1x+80_C1−x_C1+20x−20)_C123−3x52/3801x(580x2_C1−160_C1x+80_C1−x_C1+20x−20)_C123+x−1−i23(35340_C1x(580x2_C1−160_C1x+80_C1−x_C1+20x−20)_C123−3x52/3401x(580x2_C1−160_C1x+80_C1−x_C1+20x−20)_C123),y(x)=−35380_C1x(580x2_C1−160_C1x+80_C1−x_C1+20x−20)_C123−3x52/3801x(580x2_C1−160_C1x+80_C1−x_C1+20x−20)_C123+x−1+i23(35340_C1x(580x2_C1−160_C1x+80_C1−x_C1+20x−20)_C123−3x52/3401x(580x2_C1−160_C1x+80_C1−x_C1+20x−20)_C123)}

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