Internal problem ID [141]
Book: Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section: Chapter 1 review problems. Page 78
Problem number: 21.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {\left (x -1\right ) y+\left (x^{2}-1\right ) y^{\prime }-1=0} \end {gather*}
✓ Solution by Maple
Time used: 0.001 (sec). Leaf size: 16
dsolve((-1+x)*y(x)+(x^2-1)*diff(y(x),x) = 1,y(x), singsol=all)
\[ y \relax (x ) = \frac {\ln \left (x -1\right )+c_{1}}{x +1} \]
✓ Solution by Mathematica
Time used: 0.033 (sec). Leaf size: 18
DSolve[(-1+x)*y[x]+(x^2-1)*y'[x] == 1,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {\log (x-1)+c_1}{x+1} \\ \end{align*}