ODE No. 415

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

y(x)y(x)+xy(x)2y(x)4=0 Mathematica : cpu = 0.222116 (sec), leaf count = 133

{{y(x)tanh2(12(c1log(x)))12x},{y(x)tanh2(12(c1log(x)))12x},{y(x)tanh2(12(log(x)c1))12x},{y(x)tanh2(12(log(x)c1))12x}} Maple : cpu = 2.056 (sec), leaf count = 95

{y(x)=121x,y(x)=121x,y(x)=12x(tanh(ln(x)2+_C12))2x+x(tanh(ln(x)2+_C12))1,y(x)=12x(tanh(ln(x)2+_C12))2x+x(tanh(ln(x)2+_C12))1}