Find the Solution of the Initial-Value Problem and Use It $t = 10$

question 46

Short Answer

Find the solution of the initial-value problem and use it to find the population when $t = 10$ . $\frac { d P } { d t } = 0.4 P \left( 1 - \frac { P } { 2000 } \right) , P ( 0 ) = 100$

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Definitions:

Net Exports

The value of a country's total exports minus the value of its total imports. It is a key component in calculating a nation's GDP.

Capital Flight

The rapid movement of large sums of money or assets out of a country due to economic or political instability, leading to a decrease in domestic investment.

Interest Rate

The percentage of a loan amount charged by lenders to borrowers for the use of money, expressed as an annual percentage rate.

Net Capital Outflow

The difference between the domestic purchases of foreign assets and the foreign purchases of domestic assets, representing a nation's external investment in a given period.