Internal problem ID [2484]
Book: Differential equations, Shepley L. Ross, 1964
Section: 2.4, page 55
Problem number: 6.
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 {3 x -y+1-\left (6 x -2 y-3\right ) y^{\prime }=0} \end {gather*}
✓ Solution by Maple
Time used: 0.031 (sec). Leaf size: 33
dsolve((3*x-y(x)+1)-(6*x-2*y(x)-3)*diff(y(x),x)=0,y(x), singsol=all)
\[ y \relax (x ) = {\mathrm e}^{-\LambertW \left (-2 \,{\mathrm e}^{-4} {\mathrm e}^{5 x} {\mathrm e}^{-5 c_{1}}\right )-4+5 x -5 c_{1}}-2+3 x \]
✓ Solution by Mathematica
Time used: 60.019 (sec). Leaf size: 26
DSolve[(3*x-y[x]+1)-(6*x-2*y[x]-3)*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -\frac {1}{2} \text {ProductLog}\left (-e^{5 x-1+c_1}\right )+3 x-2 \\ \end{align*}