2.1766   ODE No. 1766

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

\[ x y(x) y''(x)-4 x y'(x)^2+4 y(x) y'(x)=0 \] Mathematica : cpu = 0.179491 (sec), leaf count = 21

\[\left \{\left \{y(x)\to \frac {c_2 x}{\sqrt [3]{1+c_1 x^3}}\right \}\right \}\] Maple : cpu = 1.242 (sec), leaf count = 64

\[\left \{y \left (x \right ) = \frac {x}{\left (-3 c_{2} x^{3}+c_{1}\right )^{\frac {1}{3}}}, y \left (x \right ) = -\frac {\left (1+i \sqrt {3}\right ) x}{2 \left (-3 c_{2} x^{3}+c_{1}\right )^{\frac {1}{3}}}, y \left (x \right ) = \frac {\left (i \sqrt {3}-1\right ) x}{2 \left (-3 c_{2} x^{3}+c_{1}\right )^{\frac {1}{3}}}\right \}\]