16.1.14 problem 3(h)

Internal problem ID [3416]
Book : Elementary Differential Equations, Martin, Reissner, 2nd ed, 1961
Section : Exercis 2, page 5
Problem number : 3(h)
Date solved : Monday, January 27, 2025 at 07:36:10 AM
CAS classification : [_quadrature]

\begin{align*} \left (x^{2}+1\right ) y^{\prime }&=1 \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 8

dsolve((1+x^2)*diff(y(x),x)=1,y(x), singsol=all)
 

\[ y \left (x \right ) = \arctan \left (x \right )+c_{1} \]

✓ Solution by Mathematica

Time used: 0.004 (sec). Leaf size: 10

DSolve[(1+x^2)*D[y[x],x]==1,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \arctan (x)+c_1 \]