I want to truly thank you. Your explanations helped me immediately and the way you show and explain the topics was in my opinion incredibly coherent, understandable and I had lots of fun learning. Thank you Edit: I just want to add that certain formulations you use, for example: “You don’t know why you substitute it in this way, until you do it” (followed up by your explanation) not only helps understand the formulas, but also might take away the uncertainty one might have, like: “Wait, why did he do it this way? Did I not understand something”, especially when the one explaining takes these things as a given. The fact that you do not take these things as a given, but say “You’ll see afterwards why this substitution is useful” takes away that uncertainty and it helped me a lot. Once again, thank you for the incredible video!
Just loved your way of teaching ....like its so accurate and so unbelievable and too good that I was shocked to see it for the time and then everything was crystal clear..also your flexibility between python and paper is very good..thank you sir.
Your content is truly outstanding! But I notice a distinction between your solution and mine, stemming from the values of 'c1' and 'c2.' In this case, 'c1 + c2' is the coefficient of the cosine function, and 'i * (c1 - c2)' is the coefficient of the sine function. While 'c1 + c2' is indeed 'x0,' it's worth noting that 'i * (c1 - c2)' should be '(v0 + β * x0) / ω1' which is the coefficient of the sine function. As you can see, with the oscillator whose initial state is at rest, the solution provided in the video doesn't give out a matched result (the derivative at t=0 is not zero). But with the coefficient '(v0 + β * x0) / ω1', it performs well.
Currently a sophomore engineering student and I love these videos. You do a great job presenting relatively difficult content in an approachable way
Glad you find this useful.
I want to truly thank you. Your explanations helped me immediately and the way you show and explain the topics was in my opinion incredibly coherent, understandable and I had lots of fun learning. Thank you
Edit: I just want to add that certain formulations you use, for example: “You don’t know why you substitute it in this way, until you do it” (followed up by your explanation) not only helps understand the formulas, but also might take away the uncertainty one might have, like: “Wait, why did he do it this way? Did I not understand something”, especially when the one explaining takes these things as a given. The fact that you do not take these things as a given, but say “You’ll see afterwards why this substitution is useful” takes away that uncertainty and it helped me a lot. Once again, thank you for the incredible video!
Thank you for the feedback. I'm very glad you found this useful - it was fun to create.
Just loved your way of teaching ....like its so accurate and so unbelievable and too good that I was shocked to see it for the time and then everything was crystal clear..also your flexibility between python and paper is very good..thank you sir.
Thanks! I'm glad you found it useful.
Your content is truly outstanding! But I notice a distinction between your solution and mine, stemming from the values of 'c1' and 'c2.' In this case, 'c1 + c2' is the coefficient of the cosine function, and 'i * (c1 - c2)' is the coefficient of the sine function.
While 'c1 + c2' is indeed 'x0,' it's worth noting that 'i * (c1 - c2)' should be '(v0 + β * x0) / ω1' which is the coefficient of the sine function.
As you can see, with the oscillator whose initial state is at rest, the solution provided in the video doesn't give out a matched result (the derivative at t=0 is not zero). But with the coefficient '(v0 + β * x0) / ω1', it performs well.
I love your content. I just want to say there's a speck the lens lower right
oh - I see it now. I thought that was a dot on the paper. Thanks.
Also, I should probably upgrade my camera.