78.8.14 problem 14

Internal problem ID [18212]
Book : DIFFERENTIAL EQUATIONS WITH APPLICATIONS AND HISTORICAL NOTES by George F. Simmons. 3rd edition. 2017. CRC press, Boca Raton FL.
Section : Chapter 2. First order equations. Miscellaneous Problems for Chapter 2. Problems at page 99
Problem number : 14
Date solved : Tuesday, January 28, 2025 at 11:39:06 AM
CAS classification : [[_homogeneous, `class C`], _rational, [_Abel, `2nd type`, `class A`]]

\begin{align*} 6 x +4 y+3+\left (3 x +2 y+2\right ) y^{\prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.015 (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)
 

\[ y = -\frac {3 x}{2}+\operatorname {LambertW}\left ({\mathrm e}^{-\frac {x}{2}} c_{1} \right ) \]

✓ Solution by Mathematica

Time used: 60.304 (sec). Leaf size: 4714

DSolve[(6*x+4*y[x]+3)+(3*x+2*y[x]+2)*D[y[x],x]+y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

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