2.1077   ODE No. 1077

\[ y'(x) (a f(x)+b)+y(x) (c f(x)+d)+y''(x)=0 \]

✗ Mathematica : cpu = 0.176418 (sec), leaf count = 0

DSolve[(d + c*f[x])*y[x] + (b + a*f[x])*Derivative[1][y][x] + Derivative[2][y][x] == 0,y[x],x]
 

, could not solve

DSolve[(d + c*f[x])*y[x] + (b + a*f[x])*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)+(a*f(x)+b)*diff(y(x),x)+(c*f(x)+d)*y(x)=0,y(x))
 

, result contains DESol or ODESolStruc

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