\[ y(x) y''(x)-a=0 \] ✓ Mathematica : cpu = 0.118923 (sec), leaf count = 115
\[\left \{\left \{y(x)\to \exp \left (\frac {-2 a \text {erf}^{-1}\left (-i \sqrt {\frac {2}{\pi }} \sqrt {a e^{\frac {c_1}{a}} (x+c_2){}^2}\right ){}^2-c_1}{2 a}\right )\right \},\left \{y(x)\to \exp \left (\frac {-2 a \text {erf}^{-1}\left (i \sqrt {\frac {2}{\pi }} \sqrt {a e^{\frac {c_1}{a}} (x+c_2){}^2}\right ){}^2-c_1}{2 a}\right )\right \}\right \}\] ✓ Maple : cpu = 0.697 (sec), leaf count = 54
\[ \left \{ \int ^{y \left ( x \right ) }\!{\frac {1}{\sqrt {2\,a\ln \left ( {\it \_a} \right ) -2\,{\it \_C1}\,a}}}{d{\it \_a}}-x-{\it \_C2}=0,\int ^{y \left ( x \right ) }\!-{\frac {1}{\sqrt {-2\,a \left ( {\it \_C1}-\ln \left ( {\it \_a} \right ) \right ) }}}{d{\it \_a}}-x-{\it \_C2}=0 \right \} \]