73.1.17 problem 2.3 (g)

Internal problem ID [14995]
Book : Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell. second edition. CRC Press. FL, USA. 2020
Section : Chapter 2. Integration and differential equations. Additional exercises. page 32
Problem number : 2.3 (g)
Date solved : Tuesday, January 28, 2025 at 07:27:12 AM
CAS classification : [_quadrature]

\begin{align*} x&=\left (x^{2}-9\right ) y^{\prime } \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 14

dsolve(x=(x^2-9)*diff(y(x),x),y(x), singsol=all)
 

\[ y = \frac {\ln \left (x^{2}-9\right )}{2}+c_{1} \]

✓ Solution by Mathematica

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

DSolve[x==(x^2-9)*D[y[x],x],y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {1}{2} \log \left (x^2-9\right )+c_1 \]