2.1038   ODE No. 1038

\[ 2 a y'(x)+f(x) y(x)+y''(x)=0 \]

✗ Mathematica : cpu = 0.185359 (sec), leaf count = 0

DSolve[f[x]*y[x] + 2*a*Derivative[1][y][x] + Derivative[2][y][x] == 0,y[x],x]
 

, could not solve

DSolve[f[x]*y[x] + 2*a*Derivative[1][y][x] + Derivative[2][y][x] == 0, y[x], x]

✗ Maple : cpu = 0. (sec), leaf count = 0

dsolve(diff(diff(y(x),x),x)+2*a*diff(y(x),x)+f(x)*y(x)=0,y(x))
 

, result contains DESol or ODESolStruc

\[y \left (x \right ) = \operatorname {DESol}\left (\left \{f \left (x \right ) \textit {\_Y} \left (x \right )+2 a \left (\frac {d}{d x}\textit {\_Y} \left (x \right )\right )+\frac {d^{2}}{d x^{2}}\textit {\_Y} \left (x \right )\right \}, \left \{\textit {\_Y} \left (x \right )\right \}\right )\]