2.491   ODE No. 491

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

(a1)b+ax2+2axy(x)y(x)+(1a)y(x)2+y(x)2y(x)2=0 Mathematica : cpu = 0.746853 (sec), leaf count = 79

{{y(x)2ac1x+ac12+bx2+2c1xc12},{y(x)2ac1x+ac12+bx2+2c1xc12}} Maple : cpu = 0.933 (sec), leaf count = 195

{y(x)=ax2+b,y(x)=1aa(2xa(b_C1)(a1)+(x2+b)ab+_C1),y(x)=1aa(2xa(b_C1)(a1)+(x2+b)ab+_C1),y(x)=ax2+b,y(x)=1aa(2xa(b_C1)(a1)+(x2+b)ab+_C1),y(x)=1aa(2xa(b_C1)(a1)+(x2+b)ab+_C1)}