60.7.100 problem 1691 (book 6.100)

Internal problem ID [11689]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 6, non-linear second order
Problem number : 1691 (book 6.100)
Date solved : Monday, January 27, 2025 at 11:29:59 PM
CAS classification : [[_Emden, _Fowler], [_2nd_order, _with_linear_symmetries]]

\begin{align*} y^{\prime \prime } \sqrt {x}-y^{{3}/{2}}&=0 \end{align*}

✗ Solution by Maple

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

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

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

Not solved