2.58   ODE No. 58

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

a(y(x))bx+y(x)=0 Mathematica : cpu = 0.153631 (sec), leaf count = 119

Solve[a2(log(a2(a2y(x)b2x2+1)2a2y(x)bx2)2atanh1(a24ba2y(x)b2x2aa2+8b)a2+8b)2b=a2log(x)b+c1,y(x)]

Maple : cpu = 0.092 (sec), leaf count = 68

{12ln(y(x)ax+bx22y(x))+ay(x)Artanh(1(ay(x)+2bx)1y(x)(a2+8b))1y(x)(a2+8b)+_C1=0}