Internal problem ID [3735]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 18
Problem number: 481.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, `class C`], _rational, [_Abel, `2nd type`, `class A`]]
\[ \boxed {\left (5-2 x -3 y\right ) y^{\prime }-3 y=2 x -1} \]
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 21
dsolve((5-2*x-3*y(x))*diff(y(x),x)+1-2*x-3*y(x) = 0,y(x), singsol=all)
\[ y \left (x \right ) = -\frac {2 x}{3}-4 \operatorname {LambertW}\left (-\frac {{\mathrm e}^{\frac {x}{12}} c_{1} {\mathrm e}^{-\frac {7}{12}}}{12}\right )-\frac {7}{3} \]
✓ Solution by Mathematica
Time used: 3.981 (sec). Leaf size: 43
DSolve[(5-2 x-3 y[x])y'[x]+1-2 x -3 y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -4 W\left (-e^{\frac {x}{12}-1+c_1}\right )-\frac {2 x}{3}-\frac {7}{3} y(x)\to \frac {1}{3} (-2 x-7) \end{align*}