2.469   ODE No. 469

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

axy(x)+by(x)+y(x)y(x)2=0 Mathematica : cpu = 0.592245 (sec), leaf count = 245

{Solve[18(2atanh1(a24by(x)2x2a)2(a+2b)tanh1(a24by(x)2x2a+2b)+alog(a+b+y(x)2x2)+2blog(a+b+y(x)2x2)+alog(y(x)2x2)a+b+4log(x))=c1,y(x)],Solve[18(2atanh1(a24by(x)2x2a)+2(a+2b)tanh1(a24by(x)2x2a+2b)+alog(a+b+y(x)2x2)+2blog(a+b+y(x)2x2)+alog(y(x)2x2)a+b+4log(x))=c1,y(x)]}

Maple : cpu = 0.303 (sec), leaf count = 264

{x(y(x))2(_C1(12y(x)(ax+a2x24b(y(x))2))aa+b(ax+a2x24b(y(x))2)(a2(y(x))2(ax2+a2x24b(y(x))2x+2(y(x))2))a2b2a+2b+(y(x))2)=0,x(y(x))2(_C1(12y(x)(ax+a2x24b(y(x))2))aa+b(axa2x24b(y(x))2)(a2(y(x))2(ax2+a2x24b(y(x))2x2(y(x))2))a2b2a+2b(y(x))2)=0}