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Find the particular solution for
when t = 0; r = r0.
Solution:
Consider the given equation above
By separation of variables, transfer dt to the right side of the equation and r to the left side of the equation as follows
Integrate on both sides of the equation, we have
Substitute the values of r and t in order to solve for C as follows
Therefore, the particular solution is
Take the inverse natural logarithm on both sides of the equation, we have
