ODE
\[ (1-2 x) y'(x)=2 (-3 y(x)+16 x+8) \] ODE Classification
[_linear]
Book solution method
Linear ODE
Mathematica ✓
cpu = 0.176986 (sec), leaf count = 22
\[\left \{\left \{y(x)\to 8 x+c_1 (2 x-1)^3+\frac {4}{3}\right \}\right \}\]
Maple ✓
cpu = 0.012 (sec), leaf count = 18
\[\left [y \left (x \right ) = \frac {4}{3}+8 x +\left (-1+2 x \right )^{3} \textit {\_C1}\right ]\] Mathematica raw input
DSolve[(1 - 2*x)*y'[x] == 2*(8 + 16*x - 3*y[x]),y[x],x]
Mathematica raw output
{{y[x] -> 4/3 + 8*x + (-1 + 2*x)^3*C[1]}}
Maple raw input
dsolve((1-2*x)*diff(y(x),x) = 16+32*x-6*y(x), y(x))
Maple raw output
[y(x) = 4/3+8*x+(-1+2*x)^3*_C1]