Internal problem ID [3567]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 11
Problem number: 311.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {x \left (1-x \right ) y^{\prime }-2 y x=2} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 19
dsolve(x*(1-x)*diff(y(x),x) = 2+2*x*y(x),y(x), singsol=all)
\[ y \left (x \right ) = \frac {-2 x +2 \ln \left (x \right )+c_{1}}{\left (x -1\right )^{2}} \]
✓ Solution by Mathematica
Time used: 0.029 (sec). Leaf size: 21
DSolve[x(1-x)y'[x]==2(1+x y[x]),y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {-2 x+2 \log (x)+c_1}{(x-1)^2} \]