Internal problem ID [5185]
Book: An introduction to Ordinary Differential Equations. Earl A. Coddington. Dover. NY
1961
Section: Chapter 1. Introduction– Linear equations of First Order. Page 45
Problem number: 3.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {x^{2} y^{\prime }+2 x y-1=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 11
dsolve(x^2*diff(y(x),x)+2*x*y(x)=1,y(x), singsol=all)
\[ y \left (x \right ) = \frac {x +c_{1}}{x^{2}} \]
✓ Solution by Mathematica
Time used: 0.025 (sec). Leaf size: 13
DSolve[x^2*y'[x]+2*x*y[x]==1,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {x+c_1}{x^2} \\ \end{align*}