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3.244   ODE No. 244

x(2y(x)−x−1)ddxy(x)+y(x)(2x−y(x)−1)=0

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

Mathematica: cpu = 7.972512 (sec), leaf count = 484 {{y(x)→−23x27c12x2+(27c12x2+27c12x)2−108c13x3+27c12x3−27c12x2+(27c12x2+27c12x)2−108c13x3+27c12x3323c1−c1x+c1c1},{y(x)→(1+i3)x22/327c12x2+(27c12x2+27c12x)2−108c13x3+27c12x3+(1−i3)27c12x2+(27c12x2+27c12x)2−108c13x3+27c12x3623c1−c1x+c1c1},{y(x)→(1−i3)x22/327c12x2+(27c12x2+27c12x)2−108c13x3+27c12x3+(1+i3)27c12x2+(27c12x2+27c12x)2−108c13x3+27c12x3623c1−c1x+c1c1}}

Maple: cpu = 0.078 (sec), leaf count = 499 {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)_C123−1−x,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)_C123−1−x−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)_C123−1−x+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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