Numerical Simulations with Mathematica: A Beginner's Guide

[shinobi20]

I'm very new to Mathematica/programming and I want to do a theoretical calculation using Mathematica,
suppose I have,

$Y=CX,~~~C=constant$

Now, I want to plot Y vs. X but X should run at every point since every point is a solution for Y, how should I do this? Before, I was thinking maybe I could just give the domain (i.e. from 0 to 100 with interval 1) and then just let Mathematica do it, but I was wrong since Mathematica should calculate the value of Y for a certain X for one round then input another point then run again, etc.

Background:
* I'm really a beginner, I can just do the basic stuff in Mathematica (arithmetic, calculus, etc)
* Hands on start to mathematica (Wolfram website)
* Mathematica: A Problem Centered Approach by Roozbeh Hazrat (https://www.amazon.com/dp/1849962502/?tag=pfamazon01-20)

I will appreciate any advice on how to continue in this situation.

 

[Orodruin]

Before, I was thinking maybe I could just give the domain (i.e. from 0 to 100 with interval 1) and then just let Mathematica do it, but I was wrong since Mathematica should calculate the value of Y for a certain X for one round then input another point then run again, etc.

With Mathematica's Plot command you need only specify the function to plot, the variable, and the variable's range. Mathematica will do the rest.

Plot[C X, {X,0,100}]

Of course, C will need to have a value for this to work.

 

[shinobi20]

With Mathematica's Plot command you need only specify the function to plot, the variable, and the variable's range. Mathematica will do the rest.

Plot[C X, {X,0,100}]

Of course, C will need to have a value for this to work.

Is the plot command also used by researchers when doing their theoretical simulation (assuming mathematica can)? Is it really that easy now? I thought it was a very tedious work.

 

[ChrisVer]

A simple plot should not need tedious work to be plotted, because nobody wants to waste essential time of their work trying to figure out how plotting a function works... it's not the tedious part of their work...