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  3. solve the initial value problem 11. xdx?y2dy=0, y(

Solve the initial value problem 11. xdx?y2dy=0, y(0)=1 12. dydx=yx, y(1)=?2 16. dydx=sinxy, y(0)=2 17. xy?=?1?y2, y(1)=0 23. Mr. Ratchett,...

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Advance Math

Solve the initial value problem

11. xdx?y2dy=0, y(0)=1

12. dydx=yx, y(1)=?2

16. dydx=sinxy, y(0)=2

17. xy?=?1?y2, y(1)=0

23. Mr. Ratchett, an elderly American, was found murdered in histrain compartment on the Orient Express at 7 AM. When his body wasdiscovered, the famous detective Hercule Poirot noted that Ratchetthad a body temperature of 28 degrees. The body had cooled to atemperature of 27 degrees one hour later. If the normal temperatureof a human being is 37 degrees and the air temperature in the trainis 22 degrees, estimate the time of Ratchett's death using Newton'sLaw of Cooling.

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