The Differential Equation $\frac { d P } { d t } = ( k \cos t ) P$

question 24

Multiple Choice

The differential equation $\frac { d P } { d t } = ( k \cos t ) P$ , where k is a positive constant, models a population that undergoes yearly fluctuations. The solution of the equation is

• A) \(P = e ^ { c k \sin t }\)
• B) \(P = c e ^ { k \cos t }\)
• C) \(P = c e ^ { - k \cos t }\)
• D) \(P = c e ^ { - k \sin t }\)
• E) \(P = c e ^ { k \sin t }\)

---

Definitions:

Economic Life

Refers to the duration over which an asset remains productive or useful for its intended purpose.

Capital Lease

A lease agreement that is considered a purchase of an asset for accounting purposes, because it transfers substantially all the risks and rewards of ownership.

Bargain Purchase Price

A price for an asset that is significantly below its fair market value.

CRA

Credit Risk Analysis, assessing the risk of default on a loan by evaluating the potential borrower's creditworthiness, or it could stand for Canada Revenue Agency, the federal agency responsible for tax laws for the Canadian government.