2022-087

Solve the differential equation below for \( y \):

$$ y' - 4 \frac{y}{x} = x $$

Considering \( A \) a constant, choose the alternative that corresponds to a general solution of this equation, if any:

1. \( y = - x^2/3 + A x^4 \)
2. \( y = A x^4 - x^2/2 \)
3. \( y = - x^2/3 - A x^4 \)
4. \( y = A x^4 + x^2/2 \)
5. None of the above

Original Idea by: André Portela