Internal problem ID [12939]
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).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {-\left (x^{2}-9\right ) y^{\prime }=-x} \]
✓ Solution by Maple
Time used: 0.0 (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)*y'[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {1}{2} \log \left (x^2-9\right )+c_1 \]