Internal problem ID [8656]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 2, linear second order
Problem number: 1076.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _linear, _nonhomogeneous]]
Solve \begin {gather*} \boxed {y^{\prime \prime }+f \relax (x ) y^{\prime }+\left (f^{\prime }\relax (x )+a \right ) y-g \relax (x )=0} \end {gather*}
✗ Solution by Maple
dsolve(diff(diff(y(x),x),x)+f(x)*diff(y(x),x)+(diff(f(x),x)+a)*y(x)-g(x)=0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[-g[x] + y[x]*(a + Derivative[1][f][x]) + f[x]*y'[x] + y''[x] == 0,y[x],x,IncludeSingularSolutions -> True]
Not solved