Solve Air Pressure Problem: Find y(x) Given y'(x)

AI Thread Summary
The discussion centers on solving a mathematical problem related to air pressure in turbofan engines, specifically at an altitude of 10,973 meters where efficiency peaks. The rate of change of pressure, y'(x), is given as proportional to the pressure itself, leading to the differential equation dp/dz = kp. Additionally, it is noted that at 5,486 meters, the pressure is half of its value at mean sea level. Participants are encouraged to show their work for feedback, and there are reminders about adhering to forum rules for posting. The thread emphasizes the importance of proper problem-solving etiquette in academic discussions.
zetshield21
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Problem:
the efficiency of turbofan engines of commercial airplanes depend on air pressure and usually is maximum near about 10973 m, above mean sea level. Find the air pressure y(x) at this height given the rate of change y'(x) is proportional to the pressure, and at 5486 m the pressure has decrease to half its value y0 at mean sea level.

note: please solve my problem please!
 
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Only you can solve this problem. If you show some work, you might get some comments about whether it is correct.
 
zetshield21 said:
Problem:
the efficiency of turbofan engines of commercial airplanes depend on air pressure and usually is maximum near about 10973 m, above mean sea level. Find the air pressure y(x) at this height given the rate of change y'(x) is proportional to the pressure, and at 5486 m the pressure has decrease to half its value y0 at mean sea level.

note: please solve my problem please!

The words in bold imply that

dp/dz = kp, where k is a constant, p is the pressure, and z is the altitude
 
This thread is closed. zetshield21 -- check your PMs. You may only repost if you follow the Homework Help Template and rules.

And guys, when you see somebody post like this with zero effort shown, please click the Report button on the OP's post to have a Mentor deal with it. Thanks.
 
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