3.243   ODE No. 243

x(2y(x)+x1)ddxy(x)y(x)(y(x)+2x+1)=0

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

Mathematica: cpu = 8.050022 (sec), leaf count = 487 {{y(x)23x27c12x2+108c13x3+(27c12x27c12x2)2+27c12x3+27c12x2+108c13x3+(27c12x27c12x2)2+27c12x3323c1+c1xc1c1},{y(x)(1+i3)x22/327c12x2+108c13x3+(27c12x27c12x2)2+27c12x3(1i3)27c12x2+108c13x3+(27c12x27c12x2)2+27c12x3623c1+c1xc1c1},{y(x)(1i3)x22/327c12x2+108c13x3+(27c12x27c12x2)2+27c12x3(1+i3)27c12x2+108c13x3+(27c12x27c12x2)2+27c12x3623c1+c1xc1c1}}

Maple: cpu = 0.093 (sec), leaf count = 493 {y(x)=35340_C1x(580x2_C1160_C1x+80_C1x_C1+20x20)_C123+3x52/3401x(580x2_C1160_C1x+80_C1x_C1+20x20)_C123+x1,y(x)=35380_C1x(580x2_C1160_C1x+80_C1x_C1+20x20)_C1233x52/3801x(580x2_C1160_C1x+80_C1x_C1+20x20)_C123+x1i23(35340_C1x(580x2_C1160_C1x+80_C1x_C1+20x20)_C1233x52/3401x(580x2_C1160_C1x+80_C1x_C1+20x20)_C123),y(x)=35380_C1x(580x2_C1160_C1x+80_C1x_C1+20x20)_C1233x52/3801x(580x2_C1160_C1x+80_C1x_C1+20x20)_C123+x1+i23(35340_C1x(580x2_C1160_C1x+80_C1x_C1+20x20)_C1233x52/3401x(580x2_C1160_C1x+80_C1x_C1+20x20)_C123)}