\[ \boxed { 2\,y \left ( x \right ) \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{2}- \left ( 4\,x-5 \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +2\,y \left ( x \right ) =0} \]
Mathematica: cpu = 0.232029 (sec), leaf count = 135 \[ \left \{\left \{y(x)\to -i \sqrt {2} e^{\frac {c_1}{2}} \sqrt {8 e^{c_1}+4 x-5}\right \},\left \{y(x)\to i \sqrt {2} e^{\frac {c_1}{2}} \sqrt {8 e^{c_1}+4 x-5}\right \},\left \{y(x)\to -\frac {1}{4} i e^{\frac {c_1}{2}} \sqrt {e^{c_1}+8 x-10}\right \},\left \{y(x)\to \frac {1}{4} i e^{\frac {c_1}{2}} \sqrt {e^{c_1}+8 x-10}\right \}\right \} \]
Maple: cpu = 1.295 (sec), leaf count = 154 \[ \left \{ \ln \left ( x-{\frac {5}{4}} \right ) +{\frac {1}{2}\ln \left ( 16\,{\frac { \left ( y \left ( x \right ) \right ) ^{2}}{ \left ( 4\,x-5 \right ) ^{2}}}-1 \right ) }-\sqrt {-16\,{\frac { \left ( y \left ( x \right ) \right ) ^{2}}{ \left ( 4\,x-5 \right ) ^{2}}}+1}+{ \it Artanh} \left ( {\frac {1}{\sqrt {-16\,{\frac { \left ( y \left ( x \right ) \right ) ^{2}}{ \left ( 4\,x-5 \right ) ^{2}}}+1}}} \right ) +{ \frac {\sqrt {4}}{2}\sqrt {{\frac {-16\, \left ( y \left ( x \right ) \right ) ^{2}+16\,{x}^{2}-40\,x+25}{ \left ( 4\,x-5 \right ) ^{2}}}}}+ \ln \left ( {\frac {y \left ( x \right ) }{4\,x-5}} \right ) -{\frac {1}{ 2}\ln \left ( 4\,{\frac {y \left ( x \right ) }{4\,x-5}}+1 \right ) }-{ \frac {1}{2}\ln \left ( 4\,{\frac {y \left ( x \right ) }{4\,x-5}}-1 \right ) }-{\it \_C1}=0,y \left ( x \right ) =-x+{\frac {5}{4}},y \left ( x \right ) =x-{\frac {5}{4}} \right \} \]