Internal problem ID [3227]
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]]
Solve \begin {gather*} \boxed {\left (5-2 x -3 y\right ) y^{\prime }+1-2 x -3 y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.014 (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)
\[ y \relax (x ) = -\frac {2 x}{3}-4 \LambertW \left (-\frac {{\mathrm e}^{\frac {x}{12}} c_{1} {\mathrm e}^{-\frac {7}{12}}}{12}\right )-\frac {7}{3} \]
✓ Solution by Mathematica
Time used: 0.018 (sec). Leaf size: 30
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 \text {ProductLog}\left (-e^{\frac {x}{12}-1+c_1}\right )-\frac {2 x}{3}-\frac {7}{3} \\ \end{align*}