a"-z = e
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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Question
Number 4 A please
![Find the function T(t) that describes how the temperature in the home is changing
with time, where t 0 is the instant the air conditioning came off. Use Newton's law of
cooling with the proportionality constant k = 0.5 per hour. /
4. Find the general real solution for the following second-order differential equations.
a. z"-r e
b. r"+r =2 cos t
c. "+ 4r' +4r = te-24
d. tr"-tr'- 3r = 4t
5. Find the correct form for the particular solution but DO NOT determine the
coefficients. /
a" + 4r' + 3r = e +e cost+ sin 3t
6. Consider the second-order differential equation
OMEN](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa19f2cdc-10d7-46aa-afc5-421c05f2f3bb%2Fd8404f85-d6f7-497a-a3ad-2e6c690d9ab9%2Fe2p7p5a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find the function T(t) that describes how the temperature in the home is changing
with time, where t 0 is the instant the air conditioning came off. Use Newton's law of
cooling with the proportionality constant k = 0.5 per hour. /
4. Find the general real solution for the following second-order differential equations.
a. z"-r e
b. r"+r =2 cos t
c. "+ 4r' +4r = te-24
d. tr"-tr'- 3r = 4t
5. Find the correct form for the particular solution but DO NOT determine the
coefficients. /
a" + 4r' + 3r = e +e cost+ sin 3t
6. Consider the second-order differential equation
OMEN
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