SymPy Tutorial || Solving Differential Equations symbolically! || Physics with Python
Welcome everyone! In this video I aim to show you how you can solve differential equations symbolically using the #SymPy Library. We will consider the damped mass spring system which is a classical problem in #physics and by the end of the video you will hopefully be able to learn how to correctly solve differential equations symbolically in your related scientifical/engineering field. I will be providing the notebook on Git-Hub so you can downloaded it yourself and learn by doing! I will be uploading a more complete Notebook soon, so hope to see you around ^^ Enjoy ~ 🐍 🖥️ GitHub Link: https://github.com/Younes-Toumi 💼 LinkedIn Link: / younes-abdeldjalil-toumi-334b29207 🚀 Want to learn more about applied #python for #physics and #engineering ? Want to see #simulations in Python? Check out my Playlist! 🔗 • Playlist 🕒 Timestamps: 00:00 - Introduction 00:35 - Explaining the damped mass-spring equation (optional) 07:17 - Step 1: Defining our Equation 20:25 - Step 3: Solving our Equation using dsolve (skipping step 2) 26:07 - Step 2: Specifying initial conditions 33:16 - Step 4: Converting our symbolic solution to an analytical solution 37:27 - Step 5: Displaying the results using matplotlib 40:09 - Final Words, thank you for watching ^^

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