4.3 Applications to differential equations
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Applications to differential equations

Lessons

Notes:
We will be learning how to create a differential equation out of the word problem, and then find the general and particular solutions. We will then take a look at the behaviour of the general solution to find results we need to answer the questions.

It may be convenient to use the following formula when modelling differential equations related to proportions:

dydt=kM\frac{dy}{dt}=kM

Where:
1. dydt\frac{dy}{dt} is the rate of change of yy
2. kk is a constant
3. MM is the equation that models the problem
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Applications to differential equations

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