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Differential Equations: Direction Fields

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First published at 03:39 UTC on October 7th, 2018.

#mathematics
#calculus
#science

Math Easy Solutions

MES

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As explained in my earlier videos, most differential equations can't be solved explicitly which thus forces us to find different ways of estimating the solution; and one of those is in the concept of direction fields. For differential equations of the form y' = F(x, y), a direction field (or slope field) is any number of points in which the slope of the line segment near that point is plotted out. This allows us to get a general idea of the shape of the curve. Direction fields are very useful to visually see the solution of a differential equation without actually having to know the precise solution. This is a very important concept to understand so make sure to watch this video!

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhsJtu3CqeI05b6SJkQ

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/differential-equations-direction-fields

Related Videos:

Differential Equations: General Overview: https://youtu.be/jit59tIY4UI
Differential Equations: Spring Motion: Example 1: https://youtu.be/Twu30EJ93Wg
Differential Equations: Motion of a Spring: https://youtu.be/mk2TiR5dwVs
Differential Equations: Population Growth: https://youtu.be/Td8C_cTEGkA .

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