ODE
\[ x^3 y'(x)=x^4+y(x)^2 \] ODE Classification
[[_homogeneous, `class G`], _rational, _Riccati]
Book solution method
Riccati ODE, Generalized ODE
Mathematica ✓
cpu = 0.237373 (sec), leaf count = 22
\[\left \{\left \{y(x)\to \frac {x^2 (\log (x)-1+c_1)}{\log (x)+c_1}\right \}\right \}\]
Maple ✓
cpu = 0.02 (sec), leaf count = 23
\[\left [y \left (x \right ) = \frac {x^{2} \left (\ln \left (x \right )-\textit {\_C1} -1\right )}{\ln \left (x \right )-\textit {\_C1}}\right ]\] Mathematica raw input
DSolve[x^3*y'[x] == x^4 + y[x]^2,y[x],x]
Mathematica raw output
{{y[x] -> (x^2*(-1 + C[1] + Log[x]))/(C[1] + Log[x])}}
Maple raw input
dsolve(x^3*diff(y(x),x) = x^4+y(x)^2, y(x))
Maple raw output
[y(x) = x^2*(ln(x)-_C1-1)/(ln(x)-_C1)]