Internal problem ID [3702]
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]
\[ \boxed {\left (3+2 x -y\right ) y^{\prime }=-2} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 19
dsolve((3+2*x-y(x))*diff(y(x),x)+2 = 0,y(x), singsol=all)
\[ y \left (x \right ) = \operatorname {LambertW}\left (-2 c_{1} {\mathrm e}^{-2 x -4}\right )+2 x +4 \]
✓ Solution by Mathematica
Time used: 0.034 (sec). Leaf size: 22
DSolve[(3+2 x-y[x])y'[x]+2==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to W\left (-2 c_1 e^{-2 (x+2)}\right )+2 x+4 \]