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

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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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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
 
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