2.1748   ODE No. 1748

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

\[ 4 y(x) y''(x)-3 y'(x)^2+4 y(x)=0 \] Mathematica : cpu = 0.255972 (sec), leaf count = 43

\[\left \{\left \{y(x)\to \frac {\left (c_1{}^2 x^2+2 c_2 c_1{}^2 x-64+c_2{}^2 c_1{}^2\right ){}^2}{256 c_1{}^2}\right \}\right \}\] Maple : cpu = 1.247 (sec), leaf count = 67

\[\left \{-c_{2}-x -\frac {4 \sqrt {c_{1} y \left (x \right )^{\frac {3}{2}}+4 y \left (x \right )}}{c_{1} \sqrt {y \left (x \right )}} = 0, -c_{2}-x +\frac {4 \sqrt {c_{1} y \left (x \right )^{\frac {3}{2}}+4 y \left (x \right )}}{c_{1} \sqrt {y \left (x \right )}} = 0, y \left (x \right ) = 0\right \}\]