Internal problem ID [3734]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 18
Problem number: 480.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, `class C`], _rational, [_Abel, `2nd type`, `class A`]]
\[ \boxed {\left (2+2 x +3 y\right ) y^{\prime }+3 y=1-2 x} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 21
dsolve((2+2*x+3*y(x))*diff(y(x),x) = 1-2*x-3*y(x),y(x), singsol=all)
\[ y \left (x \right ) = -\frac {2 x}{3}+3 \operatorname {LambertW}\left (\frac {{\mathrm e}^{-\frac {x}{9}} c_{1} {\mathrm e}^{-\frac {7}{9}}}{9}\right )+\frac {7}{3} \]
✓ Solution by Mathematica
Time used: 5.023 (sec). Leaf size: 43
DSolve[(2+2 x+3 y[x])y'[x]==1-2 x-3 y[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {1}{3} \left (9 W\left (-e^{-\frac {x}{9}-1+c_1}\right )-2 x+7\right ) y(x)\to \frac {1}{3} (7-2 x) \end{align*}