Solve the differential equation. 
Definitions:
Perfect Competition
A market structure characterized by an infinite number of small firms, homogeneous products, free entry and exit, and perfect information, leading to firms being price takers.
MR
Short for Marginal Revenue, it refers to the increase in total revenue that results from selling one additional unit of a product or service.
MC
In economics, refers to marginal cost, which is the increase in total cost that arises from producing an additional unit of output.
Marginal Cost
The expense incurred from the production of an extra single unit of a product or service.
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