(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
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(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
Transcribed Image Text:(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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