\[ 4 y(x) y''(x)-3 y'(x)^2-12 y(x)^3=0 \] ✓ Mathematica : cpu = 0.525416 (sec), leaf count = 153
\[\left \{\left \{y(x)\to \text {InverseFunction}\left [-\frac {4 \text {$\#$1} \sqrt {1+\frac {4 \text {$\#$1}^{3/2}}{c_1}} \, _2F_1\left (\frac {1}{6},\frac {1}{2};\frac {7}{6};-\frac {4 \text {$\#$1}^{3/2}}{c_1}\right )}{\sqrt {\text {$\#$1}^{3/2} \left (4 \text {$\#$1}^{3/2}+c_1\right )}}\& \right ][x+c_2]\right \},\left \{y(x)\to \text {InverseFunction}\left [\frac {4 \text {$\#$1} \sqrt {1+\frac {4 \text {$\#$1}^{3/2}}{c_1}} \, _2F_1\left (\frac {1}{6},\frac {1}{2};\frac {7}{6};-\frac {4 \text {$\#$1}^{3/2}}{c_1}\right )}{\sqrt {\text {$\#$1}^{3/2} \left (4 \text {$\#$1}^{3/2}+c_1\right )}}\& \right ][x+c_2]\right \}\right \}\] ✓ Maple : cpu = 2.003 (sec), leaf count = 57
\[\left \{-c_{2}-x +\int _{}^{y \left (x \right )}\frac {1}{\sqrt {4 \textit {\_a}^{3}+c_{1} \textit {\_a}^{\frac {3}{2}}}}d \textit {\_a} = 0, -c_{2}-x +\int _{}^{y \left (x \right )}-\frac {1}{\sqrt {4 \textit {\_a}^{3}+c_{1} \textit {\_a}^{\frac {3}{2}}}}d \textit {\_a} = 0\right \}\]