4-1{ 1 s(s? + 4 ၂။ sin2t.dt
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Say whether the following statements is true or false
1
1
-¹ (5(52² + 4) = — - — 'sin2t.dt
1.
+4
+
x-¹(e-s (5 531 3³ 16 ) = u₁(t)e-³(1-1) cosh4t
2.
S
(s(t-cos3t) = 25² + 18
e-255
(s+2)²-16.
=U₂(t)e-2(t-2
2(t-2)[cosh(4(t-2))-0.5sinh4(t-2)]
(1-#) cos3t
((5 - 1)² +9)= - = 4(1)(²-
(S-1)²
25
s² + 1
If f(t)=
1) = { ₁ + (1 - 6)²
t<6
t≥6
7.
8 (t
then L{f(t)} =
= 23/1/2 + (1²/17 - 12/2/2 + 1²/²)0 - 6²
4(S'e-(t-1)+²cos2(t-1)d ) = ((5 + 1)² +²24)
8.
L-1 (65 - 17²7) = 1² 6²₁
=t6e21
(S-1)7
(5(t-1)sint) = 7²
e
3.
4.
5.
6.
9.
10.
L(tsint):
4)(s + 1)²](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff7e68f7b-fbda-4003-a98d-71a68a5b0d46%2F33ec260d-02b8-4a30-af95-f9a7d346f586%2Fc181b5g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Say whether the following statements is true or false
1
1
-¹ (5(52² + 4) = — - — 'sin2t.dt
1.
+4
+
x-¹(e-s (5 531 3³ 16 ) = u₁(t)e-³(1-1) cosh4t
2.
S
(s(t-cos3t) = 25² + 18
e-255
(s+2)²-16.
=U₂(t)e-2(t-2
2(t-2)[cosh(4(t-2))-0.5sinh4(t-2)]
(1-#) cos3t
((5 - 1)² +9)= - = 4(1)(²-
(S-1)²
25
s² + 1
If f(t)=
1) = { ₁ + (1 - 6)²
t<6
t≥6
7.
8 (t
then L{f(t)} =
= 23/1/2 + (1²/17 - 12/2/2 + 1²/²)0 - 6²
4(S'e-(t-1)+²cos2(t-1)d ) = ((5 + 1)² +²24)
8.
L-1 (65 - 17²7) = 1² 6²₁
=t6e21
(S-1)7
(5(t-1)sint) = 7²
e
3.
4.
5.
6.
9.
10.
L(tsint):
4)(s + 1)²
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