Calculation 1: Direction field & Equilibrium solution

Course subject(s) 1. Introducing Mathematical Modelling

In the previous section you have derived the differential equation

still with the initial condition P(0)=30.

Can you estimate the number of rainbowfish P(t) over time?

To answer this question, we will first construct a direction field, which is a special type of graph. In the next video, you will see how you can do this. In the video also some solutions are estimated. See for yourself!

Direction fields

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In the video you have seen how you can construct the direction field of our differential equation and how you can sketch solutions to the differential equation if you know the initial condition:


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Mathematical Modeling Basics by TU Delft OpenCourseWare is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
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