Question

xercises.
the required partial differential
1. Form the partial differential equation by eliminating the ar-
bitrary constants a, b, c from the following.
(a) z = (x + a)(y+b) (b) z = a1 + by + ab
(c) z = ax + a² y2 + b (d) az + b = a 1 +
(e) z = a(I + y) + b(x - y) + abu+c
(f) z = aeby sin ba (g) 2 = (1? + a)(y – 5)
(h) ax + by + cz = 1 (i) z = ry + y2 + (?) + 6
(j) (x – a)2 + (y - b)2 + z2 = 4.
2. Find the differential equation of the family of spheres of ra-
dius 5 with centres on the plane I = y.​

Answer 1

Answer:

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