(a) If V = x3 + axy², where a is a constant, show that+y- = 3VдуFind the value of a if V is to satisfy the equationa2v a2vəx?' ay2(b) Show that wave equation is satisfied when a? = b²c²1 a?ua2uWave equestion:%Dc2 at2ax2u= cos at sin bx

(a) Given V=x3+axy2 ∂V/∂x = 3x2+ay2 (1) ∂V/∂y = 2axy…

(a) If V = x3 + axy², where a is a constant, show that av av + y дх = 3V ke Find the value of a if V is to satisfy the equation a2v a2v ду? b) Show that wave equation is satisfied when a² = b²c?

(a) If V = x3 + axy², where a is a constant, show that av av + y дх = 3V ke Find the value of a if V is to satisfy the equation a2v a2v ду? b) Show that wave equation is satisfied when a² = b²c?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Fluid Kinematics

The branch of science that deals with objects which are either in motion or stationary are studied under the branch of classical mechanics. Fluid mechanics is a subcategory of classical mechanics that deals with the behavior of fluids at rest (fluid statics) or in motion (posing some velocity). In fluid kinematics, studies focus on the associated motion of fluid particles or groups of particles, and its associated parameters like displacements, velocity, and acceleration without concerning about the forces that caused the motion. All the laws of classical mechanics are applied in the study of fluid kinematics.

Question

(a) If V = x3 + axy², where a is a constant, show that
+y
- = 3V
ду
Find the value of a if V is to satisfy the equation
a2v a2v
əx?' ay2
(b) Show that wave equation is satisfied when a? = b²c²
1 a?u
a2u
Wave equestion:
%D
c2 at2
ax2
u= cos at sin bx

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