when a murder is committed, the body, originally at 37 degrees celsius, cools according to Newton's Law of Cooling. Suppose that after two hours the temperature is 35 degrees celsius, and the temperature of the surrounding air is 20 degrees celsius.
a) Use the separation of variables to solve the differential equation to find an equation for H(t).

b) Using the condition, H(0)=37, solve for the constant c

c) Solve for k, the constant of proportionality, using the fact that the body cools to 35 degrees celsius after two hours.

Question

when a murder is committed, the body, originally at 37 degrees celsius, cools according to Newton's Law of Cooling.  Suppose that after two hours the temperature is 35 degrees celsius, and the temperature of the surrounding air is 20 degrees celsius. 
 a) Use the separation of variables to solve the differential equation to find an equation for H(t).

b) Using the condition, H(0)=37, solve for the constant c

c) Solve for k, the constant of proportionality, using the fact that the body cools to 35 degrees celsius after two hours.