Internal problem ID [3753]
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')]
Solve \begin {gather*} \boxed {\left (y^{\prime }\right )^{3}+{\mathrm e}^{-2 y} \left ({\mathrm e}^{2 x}+{\mathrm e}^{3 x}\right ) y^{\prime }-{\mathrm e}^{-2 y+3 x}=0} \end {gather*}
✓ Solution by Maple
Time used: 1.0 (sec). Leaf size: 26
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)
\[ y \relax (x ) = x -\frac {\ln \left (-\frac {1}{\left ({\mathrm e}^{-x} c_{1}-1\right )^{2} \left (c_{1}+1\right )}\right )}{2} \]
✗ 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