Use Laplace transform to solve the initial value problem x" – 9x = e¯3t , x(0) = 1, x'(0) = –1 1, x'(0) = -1 %3D (7 if 3 < t
Use Laplace transform to solve the initial value problem x" – 9x = e¯3t , x(0) = 1, x'(0) = –1 1, x'(0) = -1 %3D (7 if 3 < t
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
Can you answer Number 3 pls
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1/ 1
+ %68
3s+1
12.
42
s3+4s2-21s
s(s2+4)
2s+5
[7-e4sT
s2+6s+34.
3-S
-8 ,if 3 <t < 4
,otherwise
2.
Let f(t) =
%3D
a) Give a formula for f(t) using the unit step function.
b) Determine the Laplace transform of f(t)
3.
Use Laplace transform to solve the initial value problem
x" – 9x = e-3t ; x(0) = 1,x'(0) = –1
Ə = X6
7 ,if 3 <t < 4
Let f(t) =30 .otherwise
4.
%3D
a) Determine the Laplace transform of f(t)
b) Use Laplace transform to solve the initial value problem
x" + 9x = f (t); x(0) = 0, x'(0) = 0
%3D
%3D
In this exercise, your task is to find the Laplace transform F(s) = L[f(t)]
f(t) = t · cos(4t). For that, compute the second derivative and write the e
f"(t) =...-16f(t) (don't forget to use the product rule). Then apply the I
transform on both sides and use properties from the handout to turn it into a
equation with the unknown F(s). After that, solve it to get the answer.
%3D
[(1)]]
%3D
6.
A 4-kg mass is attached to the end of a spring with spring constant 16N/m. I
first experiment, the body is pushed from the equilibrium position with initial v
v(0) = 20m/s to the right, stretching the spring. In the second experiment, the
pulled 7 m to the right, stretching the spring and after that it is released. Find
position functions x(t) in each case and compare the amplitudes and periods
Oscillation in](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4ba05301-877b-479f-b812-722c7c2f757e%2F409f9c0c-e6da-4a31-b47e-e7c656e623da%2Fjm4utfq.jpeg&w=3840&q=75)
Transcribed Image Text:5.
t Ticketmaster | Chec...
B. Double Tree by Hilt...
uites St...
1/ 1
+ %68
3s+1
12.
42
s3+4s2-21s
s(s2+4)
2s+5
[7-e4sT
s2+6s+34.
3-S
-8 ,if 3 <t < 4
,otherwise
2.
Let f(t) =
%3D
a) Give a formula for f(t) using the unit step function.
b) Determine the Laplace transform of f(t)
3.
Use Laplace transform to solve the initial value problem
x" – 9x = e-3t ; x(0) = 1,x'(0) = –1
Ə = X6
7 ,if 3 <t < 4
Let f(t) =30 .otherwise
4.
%3D
a) Determine the Laplace transform of f(t)
b) Use Laplace transform to solve the initial value problem
x" + 9x = f (t); x(0) = 0, x'(0) = 0
%3D
%3D
In this exercise, your task is to find the Laplace transform F(s) = L[f(t)]
f(t) = t · cos(4t). For that, compute the second derivative and write the e
f"(t) =...-16f(t) (don't forget to use the product rule). Then apply the I
transform on both sides and use properties from the handout to turn it into a
equation with the unknown F(s). After that, solve it to get the answer.
%3D
[(1)]]
%3D
6.
A 4-kg mass is attached to the end of a spring with spring constant 16N/m. I
first experiment, the body is pushed from the equilibrium position with initial v
v(0) = 20m/s to the right, stretching the spring. In the second experiment, the
pulled 7 m to the right, stretching the spring and after that it is released. Find
position functions x(t) in each case and compare the amplitudes and periods
Oscillation in
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