Internal problem ID [3752]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 35
Problem number: 1038.
ODE order: 1.
ODE degree: 3.
CAS Maple gives this as type [[_homogeneous, class C], _dAlembert]
Solve \begin {gather*} \boxed {\left (y^{\prime }\right )^{3}+{\mathrm e}^{-2 y+3 x} \left (y^{\prime }-1\right )=0} \end {gather*}
✗ Solution by Maple
dsolve(diff(y(x),x)^3+exp(3*x-2*y(x))*(diff(y(x),x)-1) = 0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[(y'[x])^3 +Exp[3 x -2 y[x]](y'[x]-1)==0,y[x],x,IncludeSingularSolutions -> True]
Timed out