\[ a y(x)^2+4 y(x) y''(x)-5 y'(x)^2=0 \] ✓ Mathematica : cpu = 0.173768 (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 = 1.084 (sec), leaf count = 33
\[y \relax (x ) = \frac {16 \,{\mathrm e}^{\sqrt {a}\, x} a^{2}}{\left ({\mathrm e}^{\frac {\sqrt {a}\, x}{2}} c_{1}-c_{2}\right )^{4}}\]