In: Advanced 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 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.