The project compares three models used in predicting the spread of SARS in Hong
ID: 2985924 • Letter: T
Question
The project compares three models used in predicting the spread of SARS in Hong Kong. We measure time, t, in days starting from March 17th. Let P be the total number of cases reported in Hong Kong by day t. On March 17th there were 95 cases reported. We will compare predictions from three models for June 12th, the last day a new case was reported.
A) What is the initial condition given by the information above? Use function notation.
B) A Linear Model. Suppose P satisfies dP/dt = 30.2, solve the d.e. using the initial condition. Show Steps
Just need some help with these two, I feel as though its very easy, but I feel not enough information is given, Thanks.
Explanation / Answer
a) P (0) = 95
b) dP/dt = 30.2
dP = 30.2 dt
integrating
p = 30.2 t +c
put t = 0 then p(0) = c = 95
Therefore c = 95
P = 30.2t+95
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