\[ 4 y(x) y''(x)-3 y'(x)^2-12 y(x)^3=0 \] ✓ Mathematica : cpu = 0.462985 (sec), leaf count = 153
DSolve[-12*y[x]^3 - 3*Derivative[1][y][x]^2 + 4*y[x]*Derivative[2][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to \text {InverseFunction}\left [-\frac {4 \text {$\#$1} \sqrt {1+\frac {4 \text {$\#$1}^{3/2}}{c_1}} \, _2F_1\left (\frac {1}{6},\frac {1}{2};\frac {7}{6};-\frac {4 \text {$\#$1}^{3/2}}{c_1}\right )}{\sqrt {\text {$\#$1}^{3/2} \left (4 \text {$\#$1}^{3/2}+c_1\right )}}\& \right ][x+c_2]\right \},\left \{y(x)\to \text {InverseFunction}\left [\frac {4 \text {$\#$1} \sqrt {1+\frac {4 \text {$\#$1}^{3/2}}{c_1}} \, _2F_1\left (\frac {1}{6},\frac {1}{2};\frac {7}{6};-\frac {4 \text {$\#$1}^{3/2}}{c_1}\right )}{\sqrt {\text {$\#$1}^{3/2} \left (4 \text {$\#$1}^{3/2}+c_1\right )}}\& \right ][x+c_2]\right \}\right \}\] ✓ Maple : cpu = 1.522 (sec), leaf count = 57
dsolve(4*diff(diff(y(x),x),x)*y(x)-3*diff(y(x),x)^2-12*y(x)^3=0,y(x))
\[\int _{}^{y \left (x \right )}\frac {1}{\sqrt {c_{1} \textit {\_a}^{\frac {3}{2}}+4 \textit {\_a}^{3}}}d \textit {\_a} -x -c_{2} = 0\]