Internal problem ID [8657]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 2, linear second order
Problem number: 1077.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _with_linear_symmetries]]
Solve \begin {gather*} \boxed {y^{\prime \prime }+\left (a f \relax (x )+b \right ) y^{\prime }+\left (f \relax (x ) c +d \right ) y=0} \end {gather*}
✗ Solution by Maple
dsolve(diff(diff(y(x),x),x)+(a*f(x)+b)*diff(y(x),x)+(c*f(x)+d)*y(x)=0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[(d + c*f[x])*y[x] + (b + a*f[x])*y'[x] + y''[x] == 0,y[x],x,IncludeSingularSolutions -> True]
Not solved