ithout solving it, rewrite the given second order differential equation t'u" - 3.5tu' + (t² − 1)u = −7 sin(3t) an equivalent system of first order differential equations. In your answer use the single letter nd the single letter v to represent the "velocity function" u'. Do not u(t) or v(t) to represent the n(t) that represent other functions are OK.
ithout solving it, rewrite the given second order differential equation t'u" - 3.5tu' + (t² − 1)u = −7 sin(3t) an equivalent system of first order differential equations. In your answer use the single letter nd the single letter v to represent the "velocity function" u'. Do not u(t) or v(t) to represent the n(t) that represent other functions are OK.
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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please solve it on the paper
![Without solving it, rewrite the given second order differential equation
as an equivalent system of first order differential equations. In your answer use the single letter u to represent the function u
and the single letter v to represent the "velocity function" u'. Do not u(t) or v(t) to represent these functions. Expressions like
sin(t) that represent other functions are OK.
u'
v'
=
Now write the system using matrices:
[:] 1-1
t²u" – 3.5tu' + (t² − 1)u = −7 sin(3t)
d
dt
][8][](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F05295cc1-71f0-4e3b-b6f8-2c1731c6d617%2F4a622c24-d43f-437d-9a21-0c80c21c147e%2Ftsh6afv_processed.png&w=3840&q=75)
Transcribed Image Text:Without solving it, rewrite the given second order differential equation
as an equivalent system of first order differential equations. In your answer use the single letter u to represent the function u
and the single letter v to represent the "velocity function" u'. Do not u(t) or v(t) to represent these functions. Expressions like
sin(t) that represent other functions are OK.
u'
v'
=
Now write the system using matrices:
[:] 1-1
t²u" – 3.5tu' + (t² − 1)u = −7 sin(3t)
d
dt
][8][
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