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Solving Differential Equations symbolically with SymPy! || Physics with Python | Step-by-step Guide!
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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 ~ 🐍
🚀 Want to learn more about applied #python for #physics and #engineering ? Want to see #simulations in Python? Check out my 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 ^^
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 ~ 🐍
🚀 Want to learn more about applied #python for #physics and #engineering ? Want to see #simulations in Python? Check out my 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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