EXPLAIN THIS SOLUTION USING ONLY WORDS SO I CAN UNDERSTAND IT BETTER
EXPLAIN THIS SOLUTION USING ONLY WORDS SO I CAN UNDERSTAND IT BETTER
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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Hello, Please EXPLAIN THIS SOLUTION USING ONLY WORDS SO I CAN UNDERSTAND IT BETTER. Thank You. Hoping you will answer it the way i asked.
example: in the first part of this diffetential equation, we should get the .............

Transcribed Image Text:5.
= 5.
= 5 (6PM)
5.
=> 5
ED -1
6D+1
(601) (60+)
sl
(GDJ² -1²
Sin 3t
→ Xp(t) = 5
sin 37
(CD + 1) sin 3t
360²-1
(60+ 1) sin 3t
36(-32) 1
5 x
E5
= 5 (60+1)
-324-1
sin 3t
(6D+1)
36x (19) -
GD+1
-325
کر ان کی کار لانے والی
-15 (ad Sin36
ㅗ
laddade
65
5n3t
sin 37
sin st
(60 sin3t + sin 3t)
+ sun 3t)
-1
(6. 3 cos 3t + sin3t)
45
Xp(t) = (18 cos 3t + sinst)
65
•The general solution
given by
x (t) = xc (t) + Xp (t)
-*XXL+) = (₁ ett + C²₂2e²
Ĵ
0
۲۱
= (18000 36 | singt
Junnila
![Olfa
+
Gdx
dt
corresponding
•We can get the roots by using it's auxiliary equation
1²+Gm+80
- m² + am + 2m + 8 +0
Jm(m+a) + 2 (m +a)=0
- (m+4) (m+ 2) = 0
=> either (m+2) =
+ 8x = 6 sin 36
"If m+2=0 ; m = -2
mtado;m - 4
= 5.
So, the complementary solution is
Xect) <c₁e-46 +C₂ ezt
= 5 x
5.
or (m+4)=0
• The particular solution
Xp(t)=
1
0²16078
1
D² too ty
"]Roots
-9+60+8
-3²+60+8
5 sin3t
sin 3t
;
sin 3t
- Equation 1
where
is given by
C₁ and
constants Equation 2
P(D²)
C₂ are arbitrary
· sin at =
F(-aª)
sin at](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F594838af-74e9-41da-ae02-df56efaa43d5%2F5918fed7-86df-49a9-b135-6fd9c39be646%2Fsi4wxio_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Olfa
+
Gdx
dt
corresponding
•We can get the roots by using it's auxiliary equation
1²+Gm+80
- m² + am + 2m + 8 +0
Jm(m+a) + 2 (m +a)=0
- (m+4) (m+ 2) = 0
=> either (m+2) =
+ 8x = 6 sin 36
"If m+2=0 ; m = -2
mtado;m - 4
= 5.
So, the complementary solution is
Xect) <c₁e-46 +C₂ ezt
= 5 x
5.
or (m+4)=0
• The particular solution
Xp(t)=
1
0²16078
1
D² too ty
"]Roots
-9+60+8
-3²+60+8
5 sin3t
sin 3t
;
sin 3t
- Equation 1
where
is given by
C₁ and
constants Equation 2
P(D²)
C₂ are arbitrary
· sin at =
F(-aª)
sin at
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