EXERCISES
- Form the partial differential equation from the following:
- z = ax + by + a2 + b2
Ans. z = px + qy + p2 + q2
- z = (a + x2) (b + y2)
Ans. pq = 4xyz
- (x –a)2 + (y – b)2 + z2 = c2
Ans. Z2(p + q + 1) = c2
- z = ax + by + a2 + b2
- Find the differential equation of all planes which are at a constant distance ‘a’ from the origin.
Ans.
- Form partial differential equation by eliminating the arbitrary functions from the following:
- z = f1 (x) f 2 (y)
Ans.
-
Ans. px + qy
- z = f1 (x) f 2 (y)
Get Engineering Mathematics now with the O’Reilly learning platform.
O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.