1. (a) If Z = [x f(2x + y) + g(2x + y)], where f and g are any arbitrary function, then find the partial differential equation of the given equation. (b) Form a partial differential equation of the family of spheres of radius 4 with centers on the yz -plane.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1. (a) If Z = [x f(2x + y) + g(2x + y)], where f and g are any arbitrary function,
then find the partial differential equation of the given equation.
(b) Form a partial differential equation of the family of spheres of radius 4 with
centers on the yz -plane.
Transcribed Image Text:1. (a) If Z = [x f(2x + y) + g(2x + y)], where f and g are any arbitrary function, then find the partial differential equation of the given equation. (b) Form a partial differential equation of the family of spheres of radius 4 with centers on the yz -plane.
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