Internal problem ID [13261]
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 (i).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {9 y^{\prime }=x^{2}-1} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 14
dsolve(1=x^2-9*diff(y(x),x),y(x), singsol=all)
\[ y \left (x \right ) = \frac {1}{27} x^{3}-\frac {1}{9} x +c_{1} \]
✓ Solution by Mathematica
Time used: 0.002 (sec). Leaf size: 20
DSolve[1==x^2-9*y'[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {x^3}{27}-\frac {x}{9}+c_1 \]