Internal problem ID [14081]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 1. Introduction to Differential Equations. Exercises 1.1, page 10
Problem number: 44.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }=\frac {1}{x^{2}-16}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 18
dsolve(diff(y(x),x)=1/(x^2-16),y(x), singsol=all)
\[ y \left (x \right ) = -\frac {\ln \left (x +4\right )}{8}+\frac {\ln \left (x -4\right )}{8}+c_{1} \]
✓ Solution by Mathematica
Time used: 0.004 (sec). Leaf size: 26
DSolve[y'[x]==1/(x^2-16),y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {1}{8} (\log (4-x)-\log (x+4)+8 c_1) \]