Internal problem ID [10596]
Book: Differential Equations by Shepley L. Ross. Third edition. John Willey. New Delhi.
2004.
Section: Chapter 2, section 2.2 (Separable equations). Exercises page 47
Problem number: 1.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {4 x y+\left (x^{2}+1\right ) y^{\prime }=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 13
dsolve((4*x*y(x))+(x^2+1)*diff(y(x),x)=0,y(x), singsol=all)
\[ y \left (x \right ) = \frac {c_{1}}{\left (x^{2}+1\right )^{2}} \]
✓ Solution by Mathematica
Time used: 0.03 (sec). Leaf size: 20
DSolve[(4*x*y[x])+(x^2+1)*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {c_1}{\left (x^2+1\right )^2} \\ y(x)\to 0 \\ \end{align*}