EXERCISES
  1. Form the partial differential equation from the following:
    1. z = ax + by + a2 + b2

      Ans. z = px + qy + p2 + q2

    2. z = (a + x2) (b + y2)

      Ans. pq = 4xyz

    3. (x –a)2 + (y – b)2 + z2 = c2

      Ans. Z2(p + q + 1) = c2

  2. Find the differential equation of all planes which are at a constant distance ‘a’ from the origin.

    Ans. image

  3. Form partial differential equation by eliminating the arbitrary functions from the following:
    1. z = f1 (x) f 2 (y)

      Ans. image

    2. image

      Ans. px + qy

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.

Start your free trial