Mathematica Basic help with Mathematica 5.2, please?

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To sketch solutions of a differential equation in Mathematica and highlight the one that meets a specific initial condition, users can utilize built-in functions such as NDSolve for numerical solutions and Plot for visualization. A typical approach involves defining the differential equation, applying the initial condition, and then plotting the solutions. For example, one might use code similar to "sol = NDSolve[{y'[x] == f[y, x], y[0] == y0}, y, {x, 0, xMax}]" followed by "Plot[Evaluate[y /. sol], {x, 0, xMax}]" to visualize the solutions. Resources like the provided link can offer additional examples and guidance for beginners. Familiarizing oneself with the software's basic functionalities is recommended to enhance usability.
*best&sweetest*
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I have just bought student edition of Mathematica and I have no idea how to so some basic stuff. Could anybody please tell me how to "sketch several typical solutions of the given differential equation and highlight the one that satisfies the initial condition" using Mathematica? I have tried looking at Wolfram website but couldn't find clear explanation.
Could you please give me some example of the code for any differential equation and any initial condition you want.
Technology is so not my thing.
Thanks!
 
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Why don't you start learning how to use the software? It's a pretty straightforward program once you learn the basics.

Take a look here for plenty of examples.
http://www.me.rochester.edu/courses/ME201/webexamp/exam.html
 

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