60.2.259 problem 835

Internal problem ID [10846]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 1, Additional non-linear first order
Problem number : 835
Date solved : Monday, January 27, 2025 at 10:13:44 PM
CAS classification : [NONE]

\begin{align*} y^{\prime }&=-\frac {1}{-\left (y^{3}\right )^{{2}/{3}} x -\textit {\_F1} \left (y^{3}-3 \ln \left (x \right )\right ) \left (y^{3}\right )^{{1}/{3}} x} \end{align*}

✗ Solution by Maple

dsolve(diff(y(x),x) = -1/(-(y(x)^3)^(2/3)*x-_F1(y(x)^3-3*ln(x))*(y(x)^3)^(1/3)*x),y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[D[y[x],x] == -(-(x*F1[-3*Log[x] + y[x]^3]*(y[x]^3)^(1/3)) - x*(y[x]^3)^(2/3))^(-1),y[x],x,IncludeSingularSolutions -> True]
 

Not solved