ODE
\[ x y'''(x)=2 \] ODE Classification
[[_3rd_order, _quadrature]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.159272 (sec), leaf count = 28
\[\left \{\left \{y(x)\to x^2 \log (x)+\left (-\frac {3}{2}+c_3\right ) x^2+c_2 x+c_1\right \}\right \}\]
Maple ✓
cpu = 0.13 (sec), leaf count = 26
\[\left [y \left (x \right ) = \frac {x^{2} \textit {\_C1}}{2}-\frac {3 x^{2}}{2}+x^{2} \ln \left (x \right )+\textit {\_C2} x +\textit {\_C3}\right ]\] Mathematica raw input
DSolve[x*y'''[x] == 2,y[x],x]
Mathematica raw output
{{y[x] -> C[1] + x*C[2] + x^2*(-3/2 + C[3]) + x^2*Log[x]}}
Maple raw input
dsolve(x*diff(diff(diff(y(x),x),x),x) = 2, y(x))
Maple raw output
[y(x) = 1/2*x^2*_C1-3/2*x^2+x^2*ln(x)+_C2*x+_C3]