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 = 0.0949451 (sec), leaf count = 43

\[\left \{\left \{y(x)\to \frac {\left (c_1^2 x^2+2 c_2 c_1^2 x+c_2^2 c_1^2-64\right ){}^2}{256 c_1^2}\right \}\right \}\] Maple : cpu = 0.166 (sec), leaf count = 67

\[ \left \{ -4\,{\frac {\sqrt {{\it \_C1}\, \left ( y \left ( x \right ) \right ) ^{3/2}+4\,y \left ( x \right ) }}{\sqrt {y \left ( x \right ) }{\it \_C1}}}-x-{\it \_C2}=0,4\,{\frac {\sqrt {{\it \_C1}\, \left ( y \left ( x \right ) \right ) ^{3/2}+4\,y \left ( x \right ) }}{\sqrt {y \left ( x \right ) }{\it \_C1}}}-x-{\it \_C2}=0,y \left ( x \right ) =0 \right \} \]