ODE
\[ y'(x)=y(x)^2 \left (x^3 y(x)+1\right ) \] ODE Classification
[_Abel]
Book solution method
Abel ODE, First kind
Mathematica ✗
cpu = 22.6297 (sec), leaf count = 0 , could not solve
DSolve[Derivative[1][y][x] == y[x]^2*(1 + x^3*y[x]), y[x], x]
Maple ✗
cpu = 1.72 (sec), leaf count = 0 , could not solve
dsolve(diff(y(x),x) = (1+x^3*y(x))*y(x)^2, y(x))
Mathematica raw input
DSolve[y'[x] == y[x]^2*(1 + x^3*y[x]),y[x],x]
Mathematica raw output
DSolve[Derivative[1][y][x] == y[x]^2*(1 + x^3*y[x]), y[x], x]
Maple raw input
dsolve(diff(y(x),x) = (1+x^3*y(x))*y(x)^2, y(x))
Maple raw output
dsolve(diff(y(x),x) = (1+x^3*y(x))*y(x)^2, y(x))