Internal problem ID [8417]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 1, Additional non-linear first order
Problem number: 837.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [NONE]
Solve \begin {gather*} \boxed {y^{\prime }+\frac {1}{-\ln \relax (x ) \left (y^{3}\right )^{\frac {2}{3}}-\textit {\_F1} \left (y^{3}+3 \expIntegral \left (1, -\ln \relax (x )\right )\right ) \ln \relax (x ) \left (y^{3}\right )^{\frac {1}{3}}}=0} \end {gather*}
✗ 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: 0.0 (sec). Leaf size: 0
DSolve[y'[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