Internal problem ID [4477]
Book: Fundamentals of Differential Equations. By Nagle, Saff and Snider. 9th edition. Boston. Pearson
2018.
Section: Chapter 2, First order differential equations. Section 2.4, Exact equations. Exercises. page
64
Problem number: 9.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {2 x y+3+\left (x^{2}-1\right ) y^{\prime }=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 20
dsolve((2*x*y(x)+3)+(x^2-1)*diff(y(x),x)=0,y(x), singsol=all)
\[ y \left (x \right ) = \frac {c_{1} -3 x}{\left (x -1\right ) \left (x +1\right )} \]
✓ Solution by Mathematica
Time used: 0.029 (sec). Leaf size: 19
DSolve[(2*x*y[x]+3)+(x^2-1)*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {-3 x+c_1}{x^2-1} \\ \end{align*}