ODE
\[ (1-2 x) y'(x)=2 (-3 y(x)+16 x+8) \] ODE Classification
[_linear]
Book solution method
Linear ODE
Mathematica ✓
cpu = 0.0125542 (sec), leaf count = 22
\[\left \{\left \{y(x)\to c_1 (2 x-1)^3+8 x+\frac {4}{3}\right \}\right \}\]
Maple ✓
cpu = 0.013 (sec), leaf count = 18
\[ \left \{ y \left ( x \right ) ={\frac {4}{3}}+8\,x+ \left ( -1+2\,x \right ) ^{3}{\it \_C1} \right \} \] 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),'implicit')
Maple raw output
y(x) = 4/3+8*x+(-1+2*x)^3*_C1