Represent the following family of curves by forming the corresponding differential equations (a, b are parameters) (i) `x/a+y/b=1` (ii) `(x^2)/(a^2)+(y^2)/(b^2)=1`

Explanation

To represent the given family of curves by forming the corresponding differential equations, we will follow a systematic approach for each curve.

### (i) For the curve \( \frac{x}{a} + \frac{y}{b} = 1 \)

1. **Rearranging the equation**:
\[ y = b(1 - \frac{x}{a}) = b - \frac{b}{a}x \]
...