2.3 problem Problem 3.7(c)

Internal problem ID [12412]

Book: Differential Equations, Linear, Nonlinear, Ordinary, Partial. A.C. King, J.Billingham, S.R.Otto. Cambridge Univ. Press 2003
Section: Chapter 3 Bessel functions. Problems page 89
Problem number: Problem 3.7(c).
ODE order: 2.
ODE degree: 1.

CAS Maple gives this as type [[_2nd_order, _with_linear_symmetries]]

\[ \boxed {x y^{\prime \prime }+\left (x +1\right )^{2} y=0} \]

Solution by Maple

dsolve(x*diff(y(x),x$2)+(x+1)^2*y(x)=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

Solution by Mathematica

Time used: 0.0 (sec). Leaf size: 0

DSolve[x*y''[x]+(x+1)^2*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved