Say whether the following statements is true or false sin2t.dt 2-1(1 ~-²¹ (5(5²2 + 4) ==—=— 'sin2 +4 0
Say whether the following statements is true or false sin2t.dt 2-1(1 ~-²¹ (5(5²2 + 4) ==—=— 'sin2 +4 0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Second assignment for Engineering mathematics 2
Say whether the following statements is true or false
1
=
S sin2t.dt
s(s² +4
x-¹(e-s
S+ 3
(s+3) 16,
=u₁(t)e-3(t-1) cosh4t
L(5(t - cos3t) = 25² + 18
S
3.
L-²1 [ (5 + 2)² - 16) =4₂(t)e-2 (1-2
e-255
2(t-2)[cosh(4(t-2))-0.5sinh4(t-2)]
4.
1.
2.
2°
(5-1)3² +9)=-4(1)(²-cost
3
25
s² + 1
If f(t)=
1) = { ₁ + (1 - 61²
t<6
t≥6
7.
8+
then Lif(t)) =
+ (-
• 1/2 + ( 3²/3 - 1/2 + 3 ) 6 - 6²
-)e-6s
(Se-(0-1² cos2(t-1)dtr) = ((s + 1)² + 4)(5 + 1)²
2
8.
2 - 1¹/15 - 117 ) = 152²2₁
9.
e
10. < (5(t-)sint) = 7²
5.
6.
L(tsint) =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4810a819-1329-4d2f-b8b4-4069c8cb82ea%2F2b762db0-46e7-4092-b2b5-5a81a01e0ea5%2Fsnvs9of_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Second assignment for Engineering mathematics 2
Say whether the following statements is true or false
1
=
S sin2t.dt
s(s² +4
x-¹(e-s
S+ 3
(s+3) 16,
=u₁(t)e-3(t-1) cosh4t
L(5(t - cos3t) = 25² + 18
S
3.
L-²1 [ (5 + 2)² - 16) =4₂(t)e-2 (1-2
e-255
2(t-2)[cosh(4(t-2))-0.5sinh4(t-2)]
4.
1.
2.
2°
(5-1)3² +9)=-4(1)(²-cost
3
25
s² + 1
If f(t)=
1) = { ₁ + (1 - 61²
t<6
t≥6
7.
8+
then Lif(t)) =
+ (-
• 1/2 + ( 3²/3 - 1/2 + 3 ) 6 - 6²
-)e-6s
(Se-(0-1² cos2(t-1)dtr) = ((s + 1)² + 4)(5 + 1)²
2
8.
2 - 1¹/15 - 117 ) = 152²2₁
9.
e
10. < (5(t-)sint) = 7²
5.
6.
L(tsint) =
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