The Differential Equation Model for Exponential Growth - Concept

Concept Concept (1)

If a function is growing or shrinking exponentially, it can be modeled using a differential equation. The equation itself is dy/dx=ky, which leads to the solution of y=ce^(kx). In the differential equation model, k is a constant that determines if the function is growing or shrinking. If k is greater than 1, the function is growing. If it is less than 1, the function is shrinking.

Sample Sample Problems (4)

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The Differential Equation Model for Exponential Growth - Problem 1
Problem 1
How to solve a differential equation that describes exponential growth or exponential decay.
The Differential Equation Model for Exponential Growth - Problem 2
Problem 2
How to use the general solution of the exponential growth equation to solve a similar differential equation.
The Differential Equation Model for Exponential Growth - Problem 3
Problem 3
How to solve differential equations that are related to exponential growth or exponential decay.
The Differential Equation Model for Exponential Growth - Problem 4
Problem 4
How to find the temperature of a cooling object by solving a differential equation.