Internal problem ID [8796]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 2, linear second order
Problem number: 1216.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _with_linear_symmetries]]
Solve \begin {gather*} \boxed {y^{\prime \prime } x^{2}+\left (x^{\mathit {a1}} a +b \right ) x y^{\prime }+\left (A \,x^{2 \mathit {a1}}+B \,x^{\mathit {a1}}+C \,x^{\mathit {b1}}+\mathit {DD} \right ) y=0} \end {gather*}
✗ Solution by Maple
dsolve(x^2*diff(diff(y(x),x),x)+(a*x^a1+b)*x*diff(y(x),x)+(A*x^(2*a1)+B*x^a1+C*x^b1+DD)*y(x)=0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[(DD + B*x^a1 + A*x^(2*a1) + C*x^b1)*y[x] + x*(b + a*x^a1)*y'[x] + x^2*y''[x] == 0,y[x],x,IncludeSingularSolutions -> True]
Not solved