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