Internal problem ID [3736]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 18
Problem number: 482.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, `class C`], _rational, [_Abel, `2nd type`, `class A`]]
\[ \boxed {\left (1+9 x -3 y\right ) y^{\prime }-y=-2-3 x} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 35
dsolve((1+9*x-3*y(x))*diff(y(x),x)+2+3*x-y(x) = 0,y(x), singsol=all)
\[ y \left (x \right ) = \frac {{\mathrm e}^{-\operatorname {LambertW}\left (3 \,{\mathrm e}^{-20 x} {\mathrm e}^{-3} {\mathrm e}^{20 c_{1}}\right )-20 x -3+20 c_{1}}}{2}+3 x +\frac {1}{2} \]
✓ Solution by Mathematica
Time used: 5.372 (sec). Leaf size: 37
DSolve[(1+9 x-3 y[x])y'[x]+2+3 x-y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {1}{6} \left (W\left (-e^{-20 x-1+c_1}\right )+18 x+3\right ) y(x)\to 3 x+\frac {1}{2} \end{align*}