Multiple choice

The partial differential equation that can be formed from z = ax + by + ab has the form $\Big( with p = \frac{\partial z}{\partial x} and q = \frac{\partial z}{\partial y} \Big)$

  1. z = px + qy

  2. z = px + pq

  3. z = px + qy + pq

  4. z = qy + pq
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C Correct answer
Explanation

Given z = ax + by + ab, we have p = dz/dx = a and q = dz/dy = b. Substituting these into the original equation gives z = px + qy + pq.

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