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I just obtained the expression in the image from integration. Now how do I further simplify this to expression x in terms of t. If possible, how can I graph the relationship between x and t (e.g., using a software/website).

Hansheng ZHU
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  • Welcome to MSE. Your question is phrased as an isolated problem, without any further information or context. This does not match many users' quality standards, so it may attract downvotes, or be closed. To prevent that, please [edit] the question. This will help you recognize and resolve the issues. Concretely: please provide context, and include your work and thoughts on the problem. These changes can help in formulating more appropriate answers. – José Carlos Santos Aug 17 '22 at 11:11
  • Something is wrong with your equation in the nominator you add a metric to a complex number? – trula Aug 17 '22 at 11:32
  • That is the issue, I employed the Duhamel's principle to integrate a differential then got this expression – Hansheng ZHU Aug 17 '22 at 13:23
  • That is indeed the issue. You clearly misapplied Duhamel's principle and ended up with a nonsensical expression. You need to back up and figure out your mistake. At the very least, you were using notation you didn't understand. – Paul Sinclair Aug 18 '22 at 19:38

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