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Henrik, Thank you for this analysis. This is a good test and a creative way to test their equivalence. It is an oddity though; even when I pass values for all of the parameters and test i1===i2, it still returns False. It occurs to me, testing...
I had that thought as well, so I tried using numerical values for the initial conditions as well and found the same error. However, it only occurs for certain numerical values used. For example, the following IC's return the same error message. ...
I am trying to plot the electric field intensity and vector directionality of a simple line charge. I tried plotting with StreamDensityPlot, however, the intensity (that is, the density component of the StreamDensityPlot) comes back as single color,...
Henrik, Thank you very much. The solution you gave for the springs helped a great deal. I was able to use it to complete the demonstration I was working on for coupled harmonic oscillations. I've added you as a contributor to it. Please keep a...
I agree; that solution works. I had tunnel vision focusing on using the TriangleWave function to define the spring. I am not certain the the TriangleWave function is robust enough to handle 2D oscillation though, so defining the spring as above is...
Hi, thank you for the tips! It turns out that x1 was still a list. There should be a [[1]] at the end of the expression for x1; this removes the list. In addition, there should be a t_ variable defined with the expressions for Sol1 and x1; this...
I went through the script you provided; thank you! When solving numerically, I did need to assign alpha and beta to be variable for IC11 and IC12. That is what was causing the program to not operate properly in Manipulate. Thanks again!
I feel like I'm trying to do something very basic that has a well-known solution. However, after hours of searching Community and the web I haven't been able to find a basic answer. I'm trying to control the step size in functions like Manipulate...
Thank you.
I realized I made a terrible mistake from the very beginning. The variable replacement in Plot does work, but the easiest solution is to establish all variables to be used in Manipulate in the defined function; i.e. Eqn1 = D[f[t], {t, 2}] +...