3.30 problem 1030

Internal problem ID [9363]
Internal file name [OUTPUT/8299_Monday_June_06_2022_02_40_09_AM_2098152/index.tex]

Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 2, linear second order
Problem number: 1030.
ODE order: 2.
ODE degree: 1.

The type(s) of ODE detected by this program : "unknown"

Maple gives the following as the ode type

[[_2nd_order, _with_linear_symmetries]]

Unable to solve or complete the solution.

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

Maple trace

`Methods for second order ODEs:`
 

Solution by Maple

dsolve(diff(diff(y(x),x),x)+(P(x)+l)*y(x)=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

Solution by Mathematica

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

DSolve[(l + P[x])*y[x] + y''[x] == 0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved