1.. Find a particular solution y=f(x) to the given differential equation ( dy/dx=xy/3, y>0) with the initial condition f(0)=4

2 AND 3 SCENARIO GIVEN:

Using Newtons Law of Cooling, the rate of cooling for bottle of lemonade at a room temperature of 75F, which is placed into a refrigerator with a temp of 38F, can be modeled by dT/dt=k(T-38), where T(t) is the temperature of the lemonade after t minutes and T(0)=75. After thirty minutes the lemonade has cooled to 60F so T(30)= 60.

2.. To the nearest degree, what is the temperature of the lemonade after an ADDITIONAL 30 minutes?

3.. To the nearest minute, how long does it take for the lemonade to cool to 55F.

This is not from a homework assignment. this is from a test AP help book for studying for the exam...