1.) You want to compute:
Then use the value for in 2003.
2.) You are given the IVP:
a) solve the IVP.
b) You are given this as the initial condition.
c) The term growth constant is usually used with exponential growth, in my experience. This model is not exponential.
d) Using the result from part a), find P(10).
e) Using the result from part a), solve for , then use this in the ODE.
f) Use to find , then use this in the solution from part a).
3.) Solve for .