ODE
\[ (1-2 x) x y'(x)+(1-4 x) y(x)+1=0 \] ODE Classification
[_linear]
Book solution method
Linear ODE
Mathematica ✓
cpu = 0.174212 (sec), leaf count = 22
\[\left \{\left \{y(x)\to -\frac {x-c_1}{x-2 x^2}\right \}\right \}\]
Maple ✓
cpu = 0.006 (sec), leaf count = 18
\[\left [y \left (x \right ) = \frac {x +\textit {\_C1}}{x \left (-1+2 x \right )}\right ]\] Mathematica raw input
DSolve[1 + (1 - 4*x)*y[x] + (1 - 2*x)*x*y'[x] == 0,y[x],x]
Mathematica raw output
{{y[x] -> -((x - C[1])/(x - 2*x^2))}}
Maple raw input
dsolve(x*(1-2*x)*diff(y(x),x)+1+(1-4*x)*y(x) = 0, y(x))
Maple raw output
[y(x) = (x+_C1)/x/(-1+2*x)]