\[ 2 y(x) y'(x)^2-(4 x-5) y'(x)+2 y(x)=0 \] ✓ Mathematica : cpu = 0.174796 (sec), leaf count = 135
\[\left \{\left \{y(x)\to -i \sqrt {2} e^{\frac {c_1}{2}} \sqrt {4 x-5+8 e^{c_1}}\right \},\left \{y(x)\to i \sqrt {2} e^{\frac {c_1}{2}} \sqrt {4 x-5+8 e^{c_1}}\right \},\left \{y(x)\to -\frac {1}{4} i e^{\frac {c_1}{2}} \sqrt {8 x-10+e^{c_1}}\right \},\left \{y(x)\to \frac {1}{4} i e^{\frac {c_1}{2}} \sqrt {8 x-10+e^{c_1}}\right \}\right \}\] ✓ Maple : cpu = 1.148 (sec), leaf count = 152
\[y \relax (x ) = -x +\frac {5}{4}\]