There are a few different ways of solving the T(t) equation that gets you the same solution. One way is to start with memorising the equations in the chart at the start of the video and then sub in your value for L. Or you can solve the DE in your head, where the answer is A*exp(-D*omega^2*t) and sub in our value of omega (which I mistakenly call lambda) that we have worked out to be n/2. Either way it works out the same, and there is no pi in the final answer for T(t).
Apologies for calling omega lambda - it had been a long day.
I have an exam tmrw over PDES + fourier series/transforms and this really saved me. thank you.
You’ve got this!
This video is my saviour, thank you so much..
Glad you found it useful!
Thank you very much 🤍
Where did that pi come into play for the Tn(t) function?
There are a few different ways of solving the T(t) equation that gets you the same solution. One way is to start with memorising the equations in the chart at the start of the video and then sub in your value for L. Or you can solve the DE in your head, where the answer is A*exp(-D*omega^2*t) and sub in our value of omega (which I mistakenly call lambda) that we have worked out to be n/2. Either way it works out the same, and there is no pi in the final answer for T(t).
@@learningswitchfoot ohhh I see. Thanks so much for the explanation, great videos by the way!
it would be nice if the voice is louder. its extremely difficult to hear even with the maximum volume
Apologies, these were some of the first videos I made and the sound is not great. Hopefully some of my later videos are better.