Internal problem ID [3701]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 16
Problem number: 447.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, `class C`], _rational, [_Abel, `2nd type`, `class A`]]
\[ \boxed {\left (2+2 x -y\right ) y^{\prime }-3 y=-3-6 x} \]
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 21
dsolve((2+2*x-y(x))*diff(y(x),x)+3+6*x-3*y(x) = 0,y(x), singsol=all)
\[ y \left (x \right ) = 2 x -\frac {3 \operatorname {LambertW}\left (-\frac {{\mathrm e}^{\frac {25 x}{3}} {\mathrm e}^{\frac {7}{3}} c_{1}}{3}\right )}{5}+\frac {7}{5} \]
✓ Solution by Mathematica
Time used: 3.774 (sec). Leaf size: 41
DSolve[(2+2 x-y[x])y'[x]+3(1+2 x- y[x])==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -\frac {3}{5} W\left (-e^{\frac {25 x}{3}-1+c_1}\right )+2 x+\frac {7}{5} y(x)\to 2 x+\frac {7}{5} \end{align*}