Internal problem ID [2644]
Book: Differential equations for engineers by Wei-Chau XIE, Cambridge Press 2010
Section: Chapter 2. First-Order and Simple Higher-Order Differential Equations. Page
78
Problem number: 8.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, class A], _rational, [_Abel, 2nd type, class A]]
Solve \begin {gather*} \boxed {y^{\prime }+\frac {x}{y}+2=0} \end {gather*}
✓ Solution by Maple
Time used: 0.058 (sec). Leaf size: 21
dsolve(diff(y(x),x)+x/y(x)+2=0,y(x), singsol=all)
\[ y \relax (x ) = -\frac {x \left (\LambertW \left (-c_{1} x \right )+1\right )}{\LambertW \left (-c_{1} x \right )} \]
✓ Solution by Mathematica
Time used: 0.118 (sec). Leaf size: 31
DSolve[y'[x]+x/y[x]+2==0,y[x],x,IncludeSingularSolutions -> True]
\[ \text {Solve}\left [\frac {1}{\frac {y(x)}{x}+1}+\log \left (\frac {y(x)}{x}+1\right )=-\log (x)+c_1,y(x)\right ] \]