69 lines
1.6 KiB
Markdown
69 lines
1.6 KiB
Markdown
slope-field
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===========
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I was studying [this course on Integration](https://www.edx.org/course/calculus-1b-integration-mitx-18-01-2x) when I encountered
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slope fields and I found them interesting!
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So I thought I would give it a shot and try to write a program to draw slope fields myself!
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In order to read a mathematical function definition from input, I wrote [mathexpr](/mdibaiee/mathexpr).
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Get Started
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-----------
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If you don't already, install [Haskell Platform](https://www.haskell.org/platform/).
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```
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git clone https://github.com/mdibaiee/slope-field
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cd slope-field
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stack install
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slope-field
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```
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Examples
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--------
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Parameters:
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- dy/dx: derivative of the function you are trying to visualize
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- range: range of numbers to draw
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- estimation size: size of `deltax` which is used to draw the slope corresponding to a small point, `0.03` is usually a good number, but you might want to try out larger numbers to get a more detailed picture on some examples
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```
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dy/dx =
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x + y
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range - format: (lower, upper):
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(-10, 10)
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estimation size:
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0.03
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```
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![x plus y](https://github.com/mdibaiee/slope-field/blob/master/xpy.png?raw=true)
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```
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dy/dx =
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x * y
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range - format: (lower, upper):
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(-10, 10)
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estimation size:
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0.03
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```
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![x times y](https://github.com/mdibaiee/slope-field/blob/master/xty.png?raw=true)
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```
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dy/dx =
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-y
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range - format: (lower, upper):
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(-10, 10)
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estimation size:
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0.03
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```
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![minus y](https://github.com/mdibaiee/slope-field/blob/master/minusy.png?raw=true)
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```
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dy/dx =
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y/x
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range - format: (lower, upper):
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(-10, 10)
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estimation size:
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0.1
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```
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![y divided by x](https://github.com/mdibaiee/slope-field/blob/master/ydx.png?raw=true)
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