ODE
\[ x y'(x)=x^3+y(x)+1 \] ODE Classification
[_linear]
Book solution method
Linear ODE
Mathematica ✓
cpu = 0.158461 (sec), leaf count = 18
\[\left \{\left \{y(x)\to \frac {x^3}{2}+c_1 x-1\right \}\right \}\]
Maple ✓
cpu = 0.008 (sec), leaf count = 14
\[\left [y \left (x \right ) = \frac {1}{2} x^{3}-1+x \textit {\_C1}\right ]\] Mathematica raw input
DSolve[x*y'[x] == 1 + x^3 + y[x],y[x],x]
Mathematica raw output
{{y[x] -> -1 + x^3/2 + x*C[1]}}
Maple raw input
dsolve(x*diff(y(x),x) = 1+x^3+y(x), y(x))
Maple raw output
[y(x) = 1/2*x^3-1+x*_C1]