Chapter 6.3, Problem 44E

To determine

(a)

To find:

The $\frac{du}{dv}$ for the given equation $e^{u^2-v}-v=1$.

To determine

(b)

To find:

The $\frac{dv}{du}$ for the given equation $e^{u^2-v}-v=1$.

To determine

(c)

The relationship between $\frac{du}{dv}$ and $\frac{dv}{du}$.