On the first day of school each student is given $.50 to attend, on day two each student earns a dollar. On day three each stude
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Add this. 
The ODE is separable, i.e. you can write
Integrating both sides gives the general solution.
Given that
, we have
and so the particular solution to the IVP is
Integrating both sides gives the general solution.
Given that
and so the particular solution to the IVP is