ODE
\[ 2 x y'(x)=2 x^3-y(x) \] ODE Classification
[_linear]
Book solution method
Linear ODE
Mathematica ✓
cpu = 0.163707 (sec), leaf count = 21
\[\left \{\left \{y(x)\to \frac {2 x^3}{7}+\frac {c_1}{\sqrt {x}}\right \}\right \}\]
Maple ✓
cpu = 0.009 (sec), leaf count = 15
\[\left [y \left (x \right ) = \frac {2 x^{3}}{7}+\frac {\textit {\_C1}}{\sqrt {x}}\right ]\] Mathematica raw input
DSolve[2*x*y'[x] == 2*x^3 - y[x],y[x],x]
Mathematica raw output
{{y[x] -> (2*x^3)/7 + C[1]/Sqrt[x]}}
Maple raw input
dsolve(2*x*diff(y(x),x) = 2*x^3-y(x), y(x))
Maple raw output
[y(x) = 2/7*x^3+1/x^(1/2)*_C1]