Internal problem ID [2490]
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]
\[ \boxed {2 x y^{\prime }+y=-3 x} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 13
dsolve(2*x*diff(y(x),x)+3*x+y(x)=0,y(x), singsol=all)
\[ y \left (x \right ) = -x +\frac {c_{1}}{\sqrt {x}} \]
✓ Solution by Mathematica
Time used: 0.027 (sec). Leaf size: 17
DSolve[2*x*y'[x]+3*x+y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -x+\frac {c_1}{\sqrt {x}} \]