Internal problem ID [4986]
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]
\[ \boxed {2 x y+\left (x^{2}-1\right ) y^{\prime }=-3} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 17
dsolve((2*x*y(x)+3)+(x^2-1)*diff(y(x),x)=0,y(x), singsol=all)
\[ y \left (x \right ) = \frac {-3 x +c_{1}}{x^{2}-1} \]
✓ 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]
\[ y(x)\to \frac {-3 x+c_1}{x^2-1} \]