\[ a y(x)^2+4 y(x) y''(x)-5 y'(x)^2=0 \] ✓ Mathematica : cpu = 0.173768 (sec), leaf count = 26
DSolve[a*y[x]^2 - 5*Derivative[1][y][x]^2 + 4*y[x]*Derivative[2][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to c_2 \text {sech}^4\left (\frac {1}{4} \sqrt {a} (x-4 c_1)\right )\right \}\right \}\] ✓ Maple : cpu = 1.084 (sec), leaf count = 33
dsolve(4*diff(diff(y(x),x),x)*y(x)-5*diff(y(x),x)^2+a*y(x)^2=0,y(x))
\[y \left (x \right ) = \frac {16 \,{\mathrm e}^{\sqrt {a}\, x} a^{2}}{\left ({\mathrm e}^{\frac {\sqrt {a}\, x}{2}} c_{1}-c_{2}\right )^{4}}\]