ODE
\[ x^3 y''(x)-x^2 y'(x)=3-x^2 \] ODE Classification
[[_2nd_order, _missing_y]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.177917 (sec), leaf count = 21
\[\left \{\left \{y(x)\to \frac {c_1 x^2}{2}+x+\frac {1}{x}+c_2\right \}\right \}\]
Maple ✓
cpu = 0.227 (sec), leaf count = 16
\[\left [y \left (x \right ) = \frac {x^{2} \textit {\_C1}}{2}+\frac {1}{x}+x +\textit {\_C2}\right ]\] Mathematica raw input
DSolve[-(x^2*y'[x]) + x^3*y''[x] == 3 - x^2,y[x],x]
Mathematica raw output
{{y[x] -> x^(-1) + x + (x^2*C[1])/2 + C[2]}}
Maple raw input
dsolve(x^3*diff(diff(y(x),x),x)-x^2*diff(y(x),x) = -x^2+3, y(x))
Maple raw output
[y(x) = 1/2*x^2*_C1+1/x+x+_C2]