\[ a y(x)^2+4 y(x) y''(x)-5 y'(x)^2=0 \] ✓ Mathematica : cpu = 0.191535 (sec), leaf count = 26
\[\left \{\left \{y(x)\to c_2 \text {sech}^4\left (\frac {1}{4} \sqrt {a} (x-4 c_1)\right )\right \}\right \}\] ✓ Maple : cpu = 1.435 (sec), leaf count = 33
\[\left \{y \left (x \right ) = \frac {16 a^{2} {\mathrm e}^{\sqrt {a}\, x}}{\left (c_{1} {\mathrm e}^{\frac {\sqrt {a}\, x}{2}}-c_{2}\right )^{4}}\right \}\]