Internal problem ID [3029]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 10
Problem number: 281.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {\left (x^{2}+1\right ) y^{\prime }+a -y x=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 18
dsolve((x^2+1)*diff(y(x),x)+a-x*y(x) = 0,y(x), singsol=all)
\[ y \relax (x ) = \sqrt {x^{2}+1}\, c_{1}-a x \]
✓ Solution by Mathematica
Time used: 0.068 (sec). Leaf size: 22
DSolve[(1+x^2)y'[x]+a-x y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -a x+c_1 \sqrt {x^2+1} \\ \end{align*}