Internal problem ID [3572]
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]
\[ \boxed {x \left (1-x \right ) y^{\prime }-3 y x +y=-2} \]
✓ 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)
\[ y \left (x \right ) = \frac {x^{2}+c_{1} -2 x}{\left (x -1\right )^{2} x} \]
✓ Solution by Mathematica
Time used: 0.033 (sec). Leaf size: 23
DSolve[x(1-x)y'[x]+(2-3 x y[x]+y[x])==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {x^2-2 x+c_1}{(x-1)^2 x} \]