Question

The partial differential equation obtained from z=ax+by+ab by eliminating a and b is

Answer 1

Given:

z = ax + by + ab

To find:

The partial differential equation obtained from z = ax + by + ab by eliminating a and b is

Solution:

From given, we have,

z = ax + by + ab

differentiating the above function partially w.r.t x

∂z/∂x = a

i.e., p = a  .........(1)

differentiating the above function partially w.r.t y

∂z/∂y = b

i.e., q = b  ..........(2)

from (1) and (2), we get,

a = p and b = q

substituting the  values of a and b in given equation, we get,

z = ax + by + ab

z = ax + by + (p) (q)

∴ z = ax + by + pq

Answer 2

Answer:

Step-by-step explanation: