ODE
\[ x^3 y''(x)=a+b x \] ODE Classification
[[_2nd_order, _quadrature]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.161998 (sec), leaf count = 25
\[\left \{\left \{y(x)\to \frac {a}{2 x}-b \log (x)+c_2 x+c_1\right \}\right \}\]
Maple ✓
cpu = 0.044 (sec), leaf count = 20
\[\left [y \left (x \right ) = \frac {a}{2 x}-b \ln \left (x \right )+\textit {\_C1} x +\textit {\_C2}\right ]\] Mathematica raw input
DSolve[x^3*y''[x] == a + b*x,y[x],x]
Mathematica raw output
{{y[x] -> a/(2*x) + C[1] + x*C[2] - b*Log[x]}}
Maple raw input
dsolve(x^3*diff(diff(y(x),x),x) = b*x+a, y(x))
Maple raw output
[y(x) = 1/2*a/x-b*ln(x)+_C1*x+_C2]