Show that the given differential equation is homogeneous and solve each of them.`yprime=(x+y)/x`

Explanation

To solve the given differential equation \( y' = \frac{x+y}{x} \) and show that it is homogeneous, we will follow these steps:

### Step 1: Check if the differential equation is homogeneous
A function \( f(x, y) \) is homogeneous of degree \( n \) if replacing \( x \) with \( \lambda x \) and \( y \) with \( \lambda y \) results in \( \lambda^n f(x, y) \).

Given:
\[
y' = \frac{x+y}{x}
...