Internal problem ID [3124]
Book: Differential equations with applications and historial notes, George F. Simmons,
1971
Section: Chapter 2, End of chapter, page 61
Problem number: 14.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, `class C`], _rational, [_Abel, `2nd type`, `class A`]]
\[ \boxed {4 y+\left (3 x +2 y+2\right ) y^{\prime }=-3-6 x} \]
✓ Solution by Maple
Time used: 0.031 (sec). Leaf size: 15
dsolve((6*x+4*y(x)+3)+(3*x+2*y(x)+2)*diff(y(x),x)=0,y(x), singsol=all)
\[ y \left (x \right ) = -\frac {3 x}{2}+\operatorname {LambertW}\left (c_{1} {\mathrm e}^{-\frac {x}{2}}\right ) \]
✓ Solution by Mathematica
Time used: 4.333 (sec). Leaf size: 34
DSolve[(6*x+4*y[x]+3)+(3*x+2*y[x]+2)*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -\frac {3 x}{2}+W\left (-e^{-\frac {x}{2}-1+c_1}\right ) \\ y(x)\to -\frac {3 x}{2} \\ \end{align*}