73.7.16 problem 16

Internal problem ID [15174]
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
Date solved : Tuesday, January 28, 2025 at 07:40:03 AM
CAS classification : [_quadrature]

\begin{align*} \left (x^{2}-4\right ) y^{\prime }&=x \end{align*}

✓ Solution by Maple

Time used: 0.000 (sec). Leaf size: 14

dsolve((x^2-4)*diff(y(x),x)=x,y(x), singsol=all)
 

\[ y = \frac {\ln \left (x^{2}-4\right )}{2}+c_{1} \]

✓ Solution by Mathematica

Time used: 0.004 (sec). Leaf size: 18

DSolve[(x^2-4)*D[y[x],x]==x,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {1}{2} \log \left (x^2-4\right )+c_1 \]