Internal problem ID [3588]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 12
Problem number: 332.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {x \left (1-2 x \right ) y^{\prime }+\left (1-4 x \right ) y=-1} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 18
dsolve(x*(1-2*x)*diff(y(x),x)+1+(1-4*x)*y(x) = 0,y(x), singsol=all)
\[ y \left (x \right ) = \frac {x +c_{1}}{\left (-1+2 x \right ) x} \]
✓ Solution by Mathematica
Time used: 0.038 (sec). Leaf size: 22
DSolve[x(1-2 x)y'[x]+1+(1-4 x)y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -\frac {x-c_1}{x-2 x^2} \]