Internal problem ID [8415]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 1, Additional non-linear first order
Problem number: 835.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [NONE]
Solve \begin {gather*} \boxed {y^{\prime }+\frac {1}{-\left (y^{3}\right )^{\frac {2}{3}} x -\textit {\_F1} \left (y^{3}-3 \ln \relax (x )\right ) \left (y^{3}\right )^{\frac {1}{3}} x}=0} \end {gather*}
✗ 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: 0.0 (sec). Leaf size: 0
DSolve[y'[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