Find the equation of a curve passing through the point (0, 2) given that the sum of the coordinates of any point on the curve exceeds the magnitude of the slope of the tangent to the curve at that point by 5.

Explanation

To find the equation of the curve passing through the point (0, 2) with the given condition, we will follow these steps:

### Step 1: Set Up the Differential Equation
We are given that the sum of the coordinates of any point (x, y) on the curve exceeds the magnitude of the slope of the tangent to the curve at that point by 5. This can be expressed mathematically as:
\[ x + y = \left| \frac{dy}{dx} \right| + 5 \]
Since the slope (derivative) can be positive or negative, we can express this as:
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