Assuming a, b and k are constants, calculate the following derivative. ([1]) Find a value of k so that k= Find a value of k so that Hett k= help (numbers) [1] help (formulas) help (matrices) is a solution to ' = is a solution to '= 3 help (numbers) Write down the general solution in the form ₁ (t) = ? and x₂(t) =?, i.e., write down a formula for each component of the solution. Use A and B to denote arbitrary constants. The A should go with the first k you found above, and the B should go with the second k you found above. *₁(t) = help (formulas) x₂(t) = help (formulas)
Assuming a, b and k are constants, calculate the following derivative. ([1]) Find a value of k so that k= Find a value of k so that Hett k= help (numbers) [1] help (formulas) help (matrices) is a solution to ' = is a solution to '= 3 help (numbers) Write down the general solution in the form ₁ (t) = ? and x₂(t) =?, i.e., write down a formula for each component of the solution. Use A and B to denote arbitrary constants. The A should go with the first k you found above, and the B should go with the second k you found above. *₁(t) = help (formulas) x₂(t) = help (formulas)
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
3. Ordinary
![Assuming a, b and k are constants, calculate the following derivative.
d
dt
([*]ekt)
Find a value of k so that
k =
Find a value of k so that
k =
H
ekt
help (formulas) help (matrices)
is a solution to '
help (numbers)
kt
[1] et is a solution to a ¹ =
'
help (numbers)
1 3
3 1
x.
x.
Write down the general solution in the form x₁(t) = ? and x₂(t) =?, i.e., write down a formula for each component of the solution. Use A and B to denote arbitrary constants. The A should go with the first k you
found above, and the B should go with the second k you found above.
x₁(t)
help (formulas)
x₂ (t)
help (formulas)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4d6d6ec3-8d2a-4662-b20e-640089acaa34%2F405e3e5d-8ab4-43d1-9f4b-7fb855991686%2F5yh2sn1_processed.png&w=3840&q=75)
Transcribed Image Text:Assuming a, b and k are constants, calculate the following derivative.
d
dt
([*]ekt)
Find a value of k so that
k =
Find a value of k so that
k =
H
ekt
help (formulas) help (matrices)
is a solution to '
help (numbers)
kt
[1] et is a solution to a ¹ =
'
help (numbers)
1 3
3 1
x.
x.
Write down the general solution in the form x₁(t) = ? and x₂(t) =?, i.e., write down a formula for each component of the solution. Use A and B to denote arbitrary constants. The A should go with the first k you
found above, and the B should go with the second k you found above.
x₁(t)
help (formulas)
x₂ (t)
help (formulas)
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