Find the solution to the following separable differential equation. 
Definitions:
Interest Rate
The ratio of a loan that accumulates interest charges for the borrower, customarily articulated as an annual percentage of the loan outstanding.
Interest Rate
The percentage at which interest is charged or paid on a loan or investment over a specific period of time.
Equal Payments
Regular payments of the same amount, typically in the context of loan repayments or financial agreements.
Interest Rate
The proportion of a loan charged as interest to the borrower, typically expressed as an annual percentage of the loan outstanding.
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