82.52.1 problem Ex. 1

Internal problem ID [19009]
Book : Introductory Course On Differential Equations by Daniel A Murray. Longmans Green and Co. NY. 1924
Section : Chapter IX. Equations of the second order. problems at page 116
Problem number : Ex. 1
Date solved : Tuesday, January 28, 2025 at 12:45:30 PM
CAS classification : [[_2nd_order, _with_linear_symmetries]]

\begin{align*} y^{\prime \prime }+\frac {y^{\prime }}{x^{{1}/{3}}}+\left (\frac {1}{4 x^{{2}/{3}}}-\frac {1}{6 x^{{1}/{3}}}-\frac {6}{x^{2}}\right ) y&=0 \end{align*}

✗ Solution by Maple

dsolve(diff(y(x),x$2)+1/x^(1/3)*diff(y(x),x)+( 1/(4*x^(2/3)) - 1/( 6*x^(1/3)) - 6/x^2)*y(x)=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

DSolve[D[y[x],{x,2}]+1/x^(1/3)*D[y[x],x]+( 1/(4*x^(2/3)) - 1/( 6*x^(1/3)) - 6/x^2)*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved