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 = 0.168873 (sec), leaf count = 21
\[\left \{\left \{y(x)\to \frac {x^2+c_1}{x-x^4}\right \}\right \}\]
Maple ✓
cpu = 0.009 (sec), leaf count = 22
\[\left [y \left (x \right ) = \frac {-x^{2}+\textit {\_C1}}{x \left (x^{3}-1\right )}\right ]\] 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))
Maple raw output
[y(x) = (-x^2+_C1)/x/(x^3-1)]