ODE No. 1785

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

(x2+y(x)2)y(x)2(xy(x)y(x))(y(x)2+1)=0 Mathematica : cpu = 0.38786 (sec), leaf count = 95

{{y(x)12(4x(ec2x)+e2c2cot2(c1)ec2cot(c1))},{y(x)12(4x(ec2x)+e2c2cot2(c1)ec2cot(c1))}} Maple : cpu = 0.438 (sec), leaf count = 83

{y(x)=12_C2(_C1+1_C12+(4i_C2x+2)_C14_C22x24i_C2x+1),y(x)=12_C2(_C1+1+_C12+(4i_C2x+2)_C14_C22x24i_C2x+1)}