Internal problem ID [3194]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 16
Problem number: 448.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, class C], [_Abel, 2nd type, class C], _dAlembert]
Solve \begin {gather*} \boxed {\left (2 x -y+3\right ) y^{\prime }+2=0} \end {gather*}
✓ Solution by Maple
Time used: 0.006 (sec). Leaf size: 19
dsolve((3+2*x-y(x))*diff(y(x),x)+2 = 0,y(x), singsol=all)
\[ y \relax (x ) = \LambertW \left (-2 c_{1} {\mathrm e}^{-2 x -4}\right )+2 x +4 \]
✓ Solution by Mathematica
Time used: 0.039 (sec). Leaf size: 22
DSolve[(3+2 x-y[x])y'[x]+2==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \text {ProductLog}\left (-2 c_1 e^{-2 (x+2)}\right )+2 x+4 \\ \end{align*}