Verify that the function `y = lambda x + (mu)/(x)` where `lambda, mu` are arbitary constants is a solution of the differential equation `x^(2)y'' + xy' - y = 0`.

Explanation

To verify that the function \( y = \lambda x + \frac{\mu}{x} \) is a solution of the differential equation \( x^2 y'' + xy' - y = 0 \), we will follow these steps:

### Step 1: Find the first derivative \( y' \)

Given:
\[ y = \lambda x + \frac{\mu}{x} \]
...