73.1.19 problem 2.3 (i)

Internal problem ID [14997]
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)
Date solved : Tuesday, January 28, 2025 at 07:27:13 AM
CAS classification : [_quadrature]

\begin{align*} 1&=x^{2}-9 y^{\prime } \end{align*}

✓ Solution by Maple

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

dsolve(1=x^2-9*diff(y(x),x),y(x), singsol=all)
 

\[ y = \frac {1}{27} x^{3}-\frac {1}{9} x +c_{1} \]

✓ Solution by Mathematica

Time used: 0.003 (sec). Leaf size: 20

DSolve[1==x^2-9*D[y[x],x],y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {x^3}{27}-\frac {x}{9}+c_1 \]