Complex Variables and Partial Differential Equations (3130005)

Question-4b

BE | Semester-3 Summer-2020 | 27-10-2020

Q4) (b)

Derive partial differential equation by eliminating the arbitrary constants $‘ a ’$ and $‘ b ’$ from $z = ax + by + ab$ .

z = ax + by + ab - - - - - [1]

\Rightarrow \frac{\partial z}{\partial x} = a; \frac{\partial z}{\partial Y} = b

\Rightarrow p = a; q = b - - - - - [2]

By [ 1 ] and [ 2 ], We have

z = px + qy + pq

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