2022-087

Solve the differential equation below for $y$:

$$y^{\prime }-4\frac{y}{x}=x$$

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