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,...

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 his train compartment on the Orient Express at 7 AM. When his body was discovered, the famous detective Hercule Poirot noted that Ratchett had a body temperature of 28 degrees. The body had cooled to a temperature of 27 degrees one hour later. If the normal temperature of a human being is 37 degrees and the air temperature in the train is 22 degrees, estimate the time of Ratchett's death using Newton's Law of Cooling.

Expert Solution

Colby Messinger answered 1 year ago

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