ODE
\[ x \left (1-x^3\right ) y'(x)=2 x-\left (1-4 x^3\right ) y(x) \] ODE Classification
[_linear]
Book solution method
Linear ODE
Mathematica ✓
cpu = 0.010793 (sec), leaf count = 21
\[\left \{\left \{y(x)\to \frac {c_1+x^2}{x-x^4}\right \}\right \}\]
Maple ✓
cpu = 0.006 (sec), leaf count = 21
\[ \left \{ y \left ( x \right ) ={\frac {-{x}^{2}+{\it \_C1}}{{x}^{4}-x}} \right \} \] Mathematica raw input
DSolve[x*(1 - x^3)*y'[x] == 2*x - (1 - 4*x^3)*y[x],y[x],x]
Mathematica raw output
{{y[x] -> (x^2 + C[1])/(x - x^4)}}
Maple raw input
dsolve(x*(-x^3+1)*diff(y(x),x) = 2*x-(-4*x^3+1)*y(x), y(x),'implicit')
Maple raw output
y(x) = (-x^2+_C1)/(x^4-x)