60.2.261 problem 837

Internal problem ID [10848]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 1, Additional non-linear first order
Problem number : 837
Date solved : Monday, January 27, 2025 at 10:13:49 PM
CAS classification : [NONE]

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

✗ Solution by Maple

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

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

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

Not solved