Form a differential equation representing the given family of curves by eliminating arbitrary constants a and b.`x/a+y/b=1`

Explanation

To form a differential equation representing the family of curves given by the equation \( \frac{x}{a} + \frac{y}{b} = 1 \), we need to eliminate the arbitrary constants \( a \) and \( b \). Here’s a step-by-step solution:

### Step 1: Rewrite the given equation
Start with the equation:
\[ \frac{x}{a} + \frac{y}{b} = 1 \]
This can be rearranged to express \( y \) in terms of \( x \), \( a \), and \( b \):
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