**Order and Degree of a Differential Equation**

The order of a differential equation is defined as the highest order derivative present in the equation. The degree of a differential equation is defined as the power of the highest order derivative.

**Given Differential Equation**

The given differential equation is y = dy/dx + 5/(dy/dx).

**Step 1: Rewrite the Equation**

To determine the order and degree of the given differential equation, we need to rewrite the equation in a standard form. Let's rearrange the given equation:

y - dy/dx - 5/(dy/dx) = 0

**Step 2: Identify the Order**

The highest order derivative in the equation is dy/dx. Therefore, the order of the differential equation is 1.

**Step 3: Identify the Degree**

To determine the degree, we need to look at the power of the highest order derivative. In this case, the highest order derivative is dy/dx.

The degree of dy/dx is 1 because it is raised to the power of 1 in the equation.

Therefore, the degree of the given differential equation is 1.

**Summary**

In summary, the given differential equation y = dy/dx + 5/(dy/dx) is a first-order differential equation with a degree of 1.