2.608   ODE No. 608

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

y(x)=y(x)F(xy(x)y(x))+y(x) Mathematica : cpu = 0.414467 (sec), leaf count = 274

Solve[1y(x)(F(xK[2]K[2])xK[2]1xF(K[1]K[2]K[2])K[2]2(K[1]K[2]2K[2]3/21K[2])K[2]F(K[1]K[2]K[2])1(2K[2]F(K[1]K[2]K[2])+K[1]K[2])2dK[1]+2F(xK[2]K[2])2+K[2]F(xK[2]K[2])+xx(x+K[2]+2F(xK[2]K[2])K[2]))dK[2]+1x12y(x)F(K[1]y(x)y(x))+K[1]y(x)dK[1]=c1,y(x)] Maple : cpu = 0.112 (sec), leaf count = 40

{ln(y(x))2x1y(x)y(x)(2F(_a)_a)1d_a_C1=0}