Internal problem ID [5246]
Book: Schaums Outline. Theory and problems of Differential Equations, 1st edition. Frank Ayres.
McGraw Hill 1952
Section: Chapter 4. Equations of first order and first degree (Variable separable). Supplemetary
problems. Page 22
Problem number: 35.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {\left (x^{2}+1\right ) y^{\prime }+y x=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 13
dsolve((x*y(x))+(1+x^2)*diff(y(x),x)=0,y(x), singsol=all)
\[ y = \frac {c_{1}}{\sqrt {x^{2}+1}} \]
✓ Solution by Mathematica
Time used: 0.031 (sec). Leaf size: 22
DSolve[(x*y[x])+(1+x^2)*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {c_1}{\sqrt {x^2+1}} y(x)\to 0 \end{align*}