ODE
\[ x^3 y'(x)=x^2 y(x)-x^2+3 \] ODE Classification
[_linear]
Book solution method
Linear ODE
Mathematica ✓
cpu = 0.173176 (sec), leaf count = 16
\[\left \{\left \{y(x)\to -\frac {1}{x^2}+c_1 x+1\right \}\right \}\]
Maple ✓
cpu = 0.011 (sec), leaf count = 14
\[\left [y \left (x \right ) = -\frac {1}{x^{2}}+1+x \textit {\_C1}\right ]\] Mathematica raw input
DSolve[x^3*y'[x] == 3 - x^2 + x^2*y[x],y[x],x]
Mathematica raw output
{{y[x] -> 1 - x^(-2) + x*C[1]}}
Maple raw input
dsolve(x^3*diff(y(x),x) = 3-x^2+x^2*y(x), y(x))
Maple raw output
[y(x) = -1/x^2+1+x*_C1]