Internal problem ID [1936]
Book: Elementary Differential Equations, Martin, Reissner, 2nd ed, 1961
Section: Exercis 2, page 5
Problem number: 3(h).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {\left (x^{2}+1\right ) y^{\prime }-1=0} \end {gather*}
✓ Solution by Maple
Time used: 0.002 (sec). Leaf size: 8
dsolve((1+x^2)*diff(y(x),x)=1,y(x), singsol=all)
\[ y \relax (x ) = \arctan \relax (x )+c_{1} \]
✓ Solution by Mathematica
Time used: 0.005 (sec). Leaf size: 10
DSolve[(1+x^2)*y'[x]==1,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \text {ArcTan}(x)+c_1 \\ \end{align*}