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 .............

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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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 .............

3) d²x
clt2
Now
(D² +81 +25)X = 10 ult)
u(t)=0 when, + 20
2
(D² + 80 +25) x = 0
Auxiliary equation
>> m² 8m+25=0
=> m= -8± √64-100
C-F
+ 8clx
dt
X
=ym = _4 ± 3 i
Now.
+ 25x = 10 ult)
C.F=
=>
-4t
4t
2
u(t) = 1
when + 10
(D²+50+25) x = 10 x 1 =10
X
et
(C₁ cos 3t + C ₂ sin 3 t)
[c₁ cos 3t + C₂ sin 34]
[C, cos 3t +C₂ sin 3t]
x 10.
-8+6i
2
F(D)
24 10 0²24+80125
(0²78725)
1=
x 10
91
80402
25
25[1+801
Transcribed Image Text:3) d²x clt2 Now (D² +81 +25)X = 10 ult) u(t)=0 when, + 20 2 (D² + 80 +25) x = 0 Auxiliary equation >> m² 8m+25=0 => m= -8± √64-100 C-F + 8clx dt X =ym = _4 ± 3 i Now. + 25x = 10 ult) C.F= => -4t 4t 2 u(t) = 1 when + 10 (D²+50+25) x = 10 x 1 =10 X et (C₁ cos 3t + C ₂ sin 3 t) [c₁ cos 3t + C₂ sin 34] [C, cos 3t +C₂ sin 3t] x 10. -8+6i 2 F(D) 24 10 0²24+80125 (0²78725) 1= x 10 91 80402 25 25[1+801
구름 [1+ (80 +02
5
[..+ (²)]을 수
02]..
x = e
-4t
1
=) 2
이름 [7-040 ---] 증
2
S
●
[c₁ cos 3t + C₂sin 3+] + 2
var of Bostovo
Transcribed Image Text:구름 [1+ (80 +02 5 [..+ (²)]을 수 02].. x = e -4t 1 =) 2 이름 [7-040 ---] 증 2 S ● [c₁ cos 3t + C₂sin 3+] + 2 var of Bostovo
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