ODE
\[ x y'(x)=x^3-y(x) \] ODE Classification
[_linear]
Book solution method
Linear ODE
Mathematica ✓
cpu = 0.00347406 (sec), leaf count = 19
\[\left \{\left \{y(x)\to \frac {c_1}{x}+\frac {x^3}{4}\right \}\right \}\]
Maple ✓
cpu = 0.005 (sec), leaf count = 15
\[ \left \{ y \left ( x \right ) ={\frac {1}{x} \left ( {\frac {{x}^{4}}{4}}+{\it \_C1} \right ) } \right \} \] Mathematica raw input
DSolve[x*y'[x] == x^3 - y[x],y[x],x]
Mathematica raw output
{{y[x] -> x^3/4 + C[1]/x}}
Maple raw input
dsolve(x*diff(y(x),x) = x^3-y(x), y(x),'implicit')
Maple raw output
y(x) = (1/4*x^4+_C1)/x