23.1.3 problem 1(c)

Internal problem ID [4093]
Book : Theory and solutions of Ordinary Differential equations, Donald Greenspan, 1960
Section : Chapter 2. First order equations. Exercises at page 14
Problem number : 1(c)
Date solved : Monday, January 27, 2025 at 08:08:24 AM
CAS classification : [_linear]

\begin{align*} 3 y-2 x +\left (3 x -2\right ) y^{\prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 17

dsolve((3*y(x)-2*x)+(3*x-2)*diff(y(x),x)=0,y(x), singsol=all)
 

\[ y \left (x \right ) = \frac {x^{2}+c_{1}}{-2+3 x} \]

✓ Solution by Mathematica

Time used: 0.031 (sec). Leaf size: 21

DSolve[(3*y[x]-2*x)+(3*x-2)*D[y[x],x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {x^2-c_1}{3 x-2} \]