Internal problem ID [2495]
Book: Theory and solutions of Ordinary Differential equations, Donald Greenspan, 1960
Section: Exercises, page 14
Problem number: 1(c).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {3 y-2 x +\left (3 x -2\right ) y^{\prime }=0} \end {gather*}
✓ Solution by Maple
Time used: 0.002 (sec). Leaf size: 17
dsolve((3*y(x)-2*x)+(3*x-2)*diff(y(x),x)=0,y(x), singsol=all)
\[ y \relax (x ) = \frac {x^{2}+c_{1}}{-2+3 x} \]
✓ Solution by Mathematica
Time used: 0.03 (sec). Leaf size: 21
DSolve[(3*y[x]-2*x)+(3*x-2)*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {x^2-c_1}{3 x-2} \\ \end{align*}