Detective Colombo was ready to go to bed when his phone rang. He looked at the clock on the wall, the clock was showing ten past midnight. \Phone calls at this time of night never bring good news", thought Colombo while reaching for the phone. -\We just discovered a body, 458 Oakley drive" - a nervous voice on the other end of the phone shouted. - \Will be there in 20 minutes." said Colombo while getting dressed. As the detective arrived at the scene, the house was a mess. The victim was discovered on the couch in the living room. Detective Colombo touched the victim's hand, it still felt pretty warm. Using his portable thermometer the detective took the victim's body temperature, it was 85F. -Please do not touch the thermostat and let it stay at 70F, - he asked the other policemen as they were arriving at the scene. \Any security cameras in the area?" \Yes," one of the ocers replied,\ there is a camera on the corner of the building. Unfortunately, it does not cover the entrance to the house, but it records everyone who walks past it. \ \ Let's take a look at who walked past the house in the last few hours" said the detective. The camera showed the following: 00:09 Victim's roommate comes home and discovers the body 23:55 Young woman walks a dog 23:32 A man in a dark leather jacket walks by, he seems to be in a rush and keeps looking back. 22:59 Old lady walks by, carrying a bag of groceries. 22:28 Two men in sports out ts leisurely walk by, they are chatting and laughing 21:57 A couple walks by, holding hands 21:35 A jogger runs by 21:09 Three teenagers wearing hoodies walk by. One of them is carrying a can of beer in his hand. The other two are smoking something, they look nervous and alert. \Let me check the victim's temperature once more" said the detective. The temperature dropped by 5 degrees and was at 80F. The clock on the wall was showing 1:30 AM. Can you help the detective to  figure out who is most likely related to the murder, or at least is the most valuable witness? The victim's relative, who was informed of their death shortly, said that the victim was complaining of having bad symptoms of COVID 19 earlier that day. In particular, they had a 104F degree fever. How does this change the picture?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Detective Colombo was ready to go to bed when his phone rang. He looked at the clock on
the wall, the clock was showing ten past midnight.
\Phone calls at this time of night never bring good news", thought Colombo while reaching for the
phone.
-\We just discovered a body, 458 Oakley drive" - a nervous voice on the other end of the phone
shouted.
- \Will be there in 20 minutes." said Colombo while getting dressed.
As the detective arrived at the scene, the house was a mess. The victim was discovered on the
couch in the living room. Detective Colombo touched the victim's hand, it still felt pretty warm.
Using his portable thermometer the detective took the victim's body temperature, it was 85F.
-Please do not touch the thermostat and let it stay at 70F, - he asked the other policemen as they
were arriving at the scene. \Any security cameras in the area?"
\Yes," one of the ocers replied,\ there is a camera on the corner of the building. Unfortunately, it
does not cover the entrance to the house, but it records everyone who walks past it. \
\ Let's take a look at who walked past the house in the last few hours" said the detective.
The camera showed the following:
00:09 Victim's roommate comes home and discovers the body
23:55 Young woman walks a dog
23:32 A man in a dark leather jacket walks by, he seems to be in a rush and keeps looking back.
22:59 Old lady walks by, carrying a bag of groceries.
22:28 Two men in sports out ts leisurely walk by, they are chatting and laughing
21:57 A couple walks by, holding hands
21:35 A jogger runs by
21:09 Three teenagers wearing hoodies walk by. One of them is carrying a can of beer in his hand.
The other two are smoking something, they look nervous and alert.
\Let me check the victim's temperature once more" said the detective. The temperature dropped
by 5 degrees and was at 80F. The clock on the wall was showing 1:30 AM.
Can you help the detective to  figure out who is most likely related to the murder, or at least is
the most valuable witness?

The victim's relative, who was informed of their death shortly, said that the victim was
complaining of having bad symptoms of COVID 19 earlier that day. In particular, they had a 104F
degree fever. How does this change the picture?

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