Internal problem ID [13438]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 8. Review exercises for part of part II. page 143
Problem number: 16.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {\left (x^{2}-4\right ) y^{\prime }=x} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 14
dsolve((x^2-4)*diff(y(x),x)=x,y(x), singsol=all)
\[ y \left (x \right ) = \frac {\ln \left (x^{2}-4\right )}{2}+c_{1} \]
✓ Solution by Mathematica
Time used: 0.004 (sec). Leaf size: 18
DSolve[(x^2-4)*y'[x]==x,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {1}{2} \log \left (x^2-4\right )+c_1 \]