### 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 Problems (4)

Need help with "The Differential Equation Model for Exponential Growth" problems? Watch expert teachers solve similar problems to develop your skills.

###### Problem 1
How to solve a differential equation that describes exponential growth or exponential decay.
###### Problem 2
How to use the general solution of the exponential growth equation to solve a similar differential equation.
###### Problem 3
How to solve differential equations that are related to exponential growth or exponential decay.
###### Problem 4
How to find the temperature of a cooling object by solving a differential equation.