Internal problem ID [1981]
Book: Mathematical methods for physics and engineering, Riley, Hobson, Bence, second edition,
2002
Section: Chapter 14, First order ordinary differential equations. 14.4 Exercises, page 490
Problem number: Problem 14.3 (b).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {2 y^{\prime } x +3 x +y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.002 (sec). Leaf size: 13
dsolve(2*x*diff(y(x),x)+3*x+y(x)=0,y(x), singsol=all)
\[ y \relax (x ) = -x +\frac {c_{1}}{\sqrt {x}} \]
✓ Solution by Mathematica
Time used: 0.026 (sec). Leaf size: 17
DSolve[2*x*y'[x]+3*x+y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -x+\frac {c_1}{\sqrt {x}} \\ \end{align*}