Assuming a, b and k are constants, calculate the following derivative. d a kt *(**)- dt e = A Find a value of k so that help (formulas) help (matrices) ekt is a solution to ' = [53] 18 . k = help (numbers) Find a value of k so that k = help (numbers) Hekt [5 3 is a solution to ' J. 35 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) Book: Section 3.3 of Notes on Diffy Qs
Assuming a, b and k are constants, calculate the following derivative. d a kt *(**)- dt e = A Find a value of k so that help (formulas) help (matrices) ekt is a solution to ' = [53] 18 . k = help (numbers) Find a value of k so that k = help (numbers) Hekt [5 3 is a solution to ' J. 35 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) Book: Section 3.3 of Notes on Diffy Qs
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 42E
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![Assuming a, b and k are constants, calculate the following derivative.
d a kt
*(**)-
dt
e
=
A
Find a value of k so that
help (formulas) help (matrices)
ekt is a solution to '
=
[53]
18
.
k
=
help (numbers)
Find a value of k so that
k
= help (numbers)
Hekt
[5 3
is a solution to '
J.
35
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)
Book: Section 3.3 of Notes on Diffy Qs](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F92927d35-c8d4-4d26-a361-d4932ab03fa8%2Fc166a133-1d6d-4475-beeb-cbd2050ae56d%2Fcm3zil5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Assuming a, b and k are constants, calculate the following derivative.
d a kt
*(**)-
dt
e
=
A
Find a value of k so that
help (formulas) help (matrices)
ekt is a solution to '
=
[53]
18
.
k
=
help (numbers)
Find a value of k so that
k
= help (numbers)
Hekt
[5 3
is a solution to '
J.
35
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)
Book: Section 3.3 of Notes on Diffy Qs
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