Internal problem ID [4261]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 35
Problem number: 1039.
ODE order: 1.
ODE degree: 3.
CAS Maple gives this as type [`y=_G(x,y')`]
\[ \boxed {{y^{\prime }}^{3}+{\mathrm e}^{-2 y} \left ({\mathrm e}^{2 x}+{\mathrm e}^{3 x}\right ) y^{\prime }-{\mathrm e}^{3 x -2 y}=0} \]
✓ Solution by Maple
Time used: 0.266 (sec). Leaf size: 28
dsolve(diff(y(x),x)^3+exp(-2*y(x))*(exp(2*x)+exp(3*x))*diff(y(x),x)-exp(3*x-2*y(x)) = 0,y(x), singsol=all)
\[ y \left (x \right ) = x -\frac {\ln \left (-\frac {{\mathrm e}^{2 x}}{\left (c_{1} +1\right ) \left (-c_{1} +{\mathrm e}^{x}\right )^{2}}\right )}{2} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[(y'[x])^3 +Exp[-2*y[x]]*(Exp[2*x]+Exp[3*x])(y'[x])-Exp[3*x-2*y[x]]==0,y[x],x,IncludeSingularSolutions -> True]
Timed out