2.517   ODE No. 517

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

(x2+y(x)2)f(y(x)x2+y(x)2)(y(x)2+1)(xy(x)y(x))2=0 Mathematica : cpu = 4.0333 (sec), leaf count = 253

{Solve[c1=log(x)+1y(x)x(K[1]2+1)f(K[1]K[1]2+1)1(K[1]i)(K[1]+i)f(K[1]K[1]2+1)(K[1]f(K[1]K[1]2+1)+if(K[1]K[1]2+1)1)dK[1],y(x)],Solve[c1=log(x)+1y(x)x(K[2]2+1)f(K[2]K[2]2+1)1(K[2]i)(K[2]+i)f(K[2]K[2]2+1)(K[2]f(K[2]K[2]2+1)if(K[2]K[2]2+1)1)dK[2],y(x)]}

Maple : cpu = 1.198 (sec), leaf count = 155

{y(x)=RootOf(ln(x)+_Z1_a2+1(_af(_a1_a2+1)+(f(_a1_a2+1))2+f(_a1_a2+1))(f(_a1_a2+1))1d_a+_C1)x,y(x)=RootOf(ln(x)+_Z1_a2+1(_af(_a1_a2+1)+(f(_a1_a2+1))2+f(_a1_a2+1))(f(_a1_a2+1))1d_a+_C1)x}