1.7 problem 2(a)

Internal problem ID [2526]

Book: Elementary Differential equations, Chaundy, 1969
Section: Exercises 3, page 60
Problem number: 2(a).
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_linear]

Solve \begin {gather*} \boxed {y^{\prime } x +y-x=0} \end {gather*}

Solution by Maple

Time used: 0.001 (sec). Leaf size: 13

dsolve(x*diff(y(x),x)+y(x)=x,y(x), singsol=all)
 

\[ y \relax (x ) = \frac {x}{2}+\frac {c_{1}}{x} \]

Solution by Mathematica

Time used: 0.025 (sec). Leaf size: 17

DSolve[x*y'[x]+y[x]==x,y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to \frac {x}{2}+\frac {c_1}{x} \\ \end{align*}