ODE
\[ x^3 y'''(x)=a \] ODE Classification
[[_3rd_order, _quadrature]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.167754 (sec), leaf count = 24
\[\left \{\left \{y(x)\to \frac {1}{2} a \log (x)+x (c_3 x+c_2)+c_1\right \}\right \}\]
Maple ✓
cpu = 0.122 (sec), leaf count = 20
\[\left [y \left (x \right ) = \frac {x^{2} \textit {\_C1}}{2}+\frac {a \ln \left (x \right )}{2}+\textit {\_C2} x +\textit {\_C3}\right ]\] Mathematica raw input
DSolve[x^3*y'''[x] == a,y[x],x]
Mathematica raw output
{{y[x] -> C[1] + x*(C[2] + x*C[3]) + (a*Log[x])/2}}
Maple raw input
dsolve(x^3*diff(diff(diff(y(x),x),x),x) = a, y(x))
Maple raw output
[y(x) = 1/2*x^2*_C1+1/2*a*ln(x)+_C2*x+_C3]