Internal problem ID [12940]
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 (h).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {-\left (x^{2}-9\right ) y^{\prime }=-1} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 18
dsolve(1=(x^2-9)*diff(y(x),x),y(x), singsol=all)
\[ y = \frac {\ln \left (x -3\right )}{6}-\frac {\ln \left (x +3\right )}{6}+c_{1} \]
✓ Solution by Mathematica
Time used: 0.004 (sec). Leaf size: 26
DSolve[1==(x^2-9)*y'[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {1}{6} (\log (3-x)-\log (x+3)+6 c_1) \]