Internal problem ID [3064]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 11
Problem number: 316.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {x \left (1-x \right ) y^{\prime }+2-3 y x +y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 21
dsolve(x*(1-x)*diff(y(x),x)+2-3*x*y(x)+y(x) = 0,y(x), singsol=all)
\[ y \relax (x ) = \frac {x^{2}-2 x +c_{1}}{x \left (x -1\right )^{2}} \]
✓ Solution by Mathematica
Time used: 0.034 (sec). Leaf size: 22
DSolve[x(1-x)y'[x]+(2-3 x y[x]+y[x])==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {(x-2) x+c_1}{(x-1)^2 x} \\ \end{align*}