2.247   ODE No. 247

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

7x2+(3x+2)(y(x)2x1)y(x)+xy(x)y(x)29x3=0 Mathematica : cpu = 11.4063 (sec), leaf count = 693

{{y(x)1458x3+2916x2+4(81x2108x36)3+(1458x3+2916x2+1944x324e2c1x+432216e2c1)2+1944x324e2c1x+432216e2c1362381x2108x363 22/31458x3+2916x2+4(81x2108x36)3+(1458x3+2916x2+1944x324e2c1x+432216e2c1)2+1944x324e2c1x+432216e2c13+x2},{y(x)(1i3)1458x3+2916x2+4(81x2108x36)3+(1458x3+2916x2+1944x324e2c1x+432216e2c1)2+1944x324e2c1x+432216e2c131223+(1+i3)(81x2108x36)6 22/31458x3+2916x2+4(81x2108x36)3+(1458x3+2916x2+1944x324e2c1x+432216e2c1)2+1944x324e2c1x+432216e2c13+x2},{y(x)(1+i3)1458x3+2916x2+4(81x2108x36)3+(1458x3+2916x2+1944x324e2c1x+432216e2c1)2+1944x324e2c1x+432216e2c131223+(1i3)(81x2108x36)6 22/31458x3+2916x2+4(81x2108x36)3+(1458x3+2916x2+1944x324e2c1x+432216e2c1)2+1944x324e2c1x+432216e2c13+x2}} Maple : cpu = 0.181 (sec), leaf count = 517

{y(x)=13+3x+26(7(1/42(3x+2)_C127(3x+2)3_C13+227(3x+2)4_C14+(3x+2)2_C1239/4(3x+2)2_C122(3x+2)_C127(3x+2)3_C13+227(3x+2)4_C14+(3x+2)2_C1233/2(3x+2)_C1+i/23(1/22(3x+2)_C127(3x+2)3_C13+227(3x+2)4_C14+(3x+2)2_C1239/2(3x+2)2_C122(3x+2)_C127(3x+2)3_C13+227(3x+2)4_C14+(3x+2)2_C123))21)(142(3x+2)_C127(3x+2)3_C13+227(3x+2)4_C14+(3x+2)2_C1239(3x+2)2_C12412(3x+2)_C127(3x+2)3_C13+227(3x+2)4_C14+(3x+2)2_C123(9x+6)_C12+i23(122(3x+2)_C127(3x+2)3_C13+227(3x+2)4_C14+(3x+2)2_C1239(3x+2)2_C12212(3x+2)_C127(3x+2)3_C13+227(3x+2)4_C14+(3x+2)2_C123))2}