2.452   ODE No. 452

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

\[ \left (2 x^2+1\right ) y'(x)^2+\left (x^2+2 x y(x)+y(x)^2+2\right ) y'(x)+2 y(x)^2+1=0 \] Mathematica : cpu = 0.0155775 (sec), leaf count = 23

\[\left \{\left \{y(x)\to \frac {-c_1 x+1+c_1{}^2}{x+c_1}\right \}\right \}\] Maple : cpu = 0. (sec), leaf count = 0 , could not solve

dsolve((2*x^2+1)*diff(y(x),x)^2+(y(x)^2+2*x*y(x)+x^2+2)*diff(y(x),x)+2*y(x)^2+1 = 0,y(x))