I have tried using $z(x) = y'/y$ which leads to $z'+z^2 = y''/y$
That led me to:
$z'(1-2x^2) + z^2(1-2x^2) + 2z + 4$
and I have no idea what to from this point, I don't even know whether I should have used the substitution $z(x)=y'/y$.
Can anybody help me out here please?