\[ y'(x)^2+e^x \left (y'(x)-y(x)\right )=0 \] ✓ Mathematica : cpu = 0.686167 (sec), leaf count = 138
DSolve[Derivative[1][y][x]^2 + E^x*(-y[x] + Derivative[1][y][x]) == 0,y[x],x]
\[\left \{\text {Solve}\left [-\frac {e^{x/2} \sqrt {4 y(x)+e^x}-4 y(x) \log \left (\sqrt {4 y(x)+e^x}-e^{x/2}\right )+e^x}{2 y(x)}=c_1,y(x)\right ],\text {Solve}\left [2 \log (y(x))-\frac {-e^{x/2} \sqrt {4 y(x)+e^x}+4 y(x) \log \left (\sqrt {4 y(x)+e^x}-e^{x/2}\right )+e^x}{2 y(x)}=c_1,y(x)\right ]\right \}\] ✓ Maple : cpu = 1.439 (sec), leaf count = 118
dsolve(diff(y(x),x)^2+(diff(y(x),x)-y(x))*exp(x) = 0,y(x))
\[2 \ln \left (y \left (x \right )\right )+\frac {\sqrt {{\mathrm e}^{2 x}+4 y \left (x \right ) {\mathrm e}^{x}}}{y \left (x \right )}+4 \,\operatorname {arctanh}\left (\sqrt {{\mathrm e}^{2 x}+4 y \left (x \right ) {\mathrm e}^{x}}\, {\mathrm e}^{-x}\right )-\frac {{\mathrm e}^{x}}{y \left (x \right )}-c_{1} = 0\]