\[ \left (4 x^2-1\right ) y(x)+y''(x)-4 x y'(x)-e^x=0 \] ✓ Mathematica : cpu = 0.0702524 (sec), leaf count = 109
\[\left \{\left \{y(x)\to c_1 e^{x (x-i)}-\frac {1}{2} i c_2 e^{(x-i) x+2 i x}+\frac {1}{4} \sqrt {\pi } e^{x (x-i)-\frac {i}{2}} \left (e^{2 i x} \text {erfi}\left (\left (\frac {1}{2}+\frac {i}{2}\right )-i x\right )-i e^i \text {erf}\left (-x+\left (\frac {1}{2}+\frac {i}{2}\right )\right )\right )\right \}\right \}\] ✓ Maple : cpu = 0.322 (sec), leaf count = 66
\[ \left \{ y \left ( x \right ) ={\frac { \left ( {{\rm e}^{{\frac {i}{2}}}}\sqrt {\pi } \left ( i\cos \left ( x \right ) +\sin \left ( x \right ) \right ) {\it Erf} \left ( x-{\frac {1}{2}}-{\frac {i}{2}} \right ) - \left ( i\cos \left ( x \right ) -\sin \left ( x \right ) \right ) {{\rm e}^{-{\frac {i}{2}}}}\sqrt {\pi }{\it Erf} \left ( x-{\frac {1}{2}}+{\frac {i}{2}} \right ) +4\,\sin \left ( x \right ) {\it \_C1}+4\,\cos \left ( x \right ) {\it \_C2} \right ) {{\rm e}^{{x}^{2}}}}{4}} \right \} \]