ODE
\[ 2 x y'(x)=2 x^3-y(x) \] ODE Classification
[_linear]
Book solution method
Linear ODE
Mathematica ✓
cpu = 0.00453928 (sec), leaf count = 21
\[\left \{\left \{y(x)\to \frac {c_1}{\sqrt {x}}+\frac {2 x^3}{7}\right \}\right \}\]
Maple ✓
cpu = 0.006 (sec), leaf count = 15
\[ \left \{ y \left ( x \right ) ={\frac {2\,{x}^{3}}{7}}+{{\it \_C1}{\frac {1}{\sqrt {x}}}} \right \} \] 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),'implicit')
Maple raw output
y(x) = 2/7*x^3+1/x^(1/2)*_C1