Timeline for In the undriven $RLC$ circuit, why would one conjecture the solution with $Ae^{Zt}$ when we perfectly know that critical case has $te^{-\alpha t}$?
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Dec 2 at 18:18 | history | edited | niobium |
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Dec 2 at 18:09 | comment | added | Octavius | It doesn't match. Instead it matches the first term (the one with $\lambda_1$). He used the ansatz (!) $Ae^{Zt}$ in order to find a (!) solution (which he found). The solution you provided is then the full solution, consisting of two linearly independent solutions. | |
Dec 2 at 18:04 | answer | added | ClearlyIncompetentGuy | timeline score: 4 | |
Dec 2 at 17:56 | history | edited | niobium | CC BY-SA 4.0 |
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Dec 2 at 17:34 | history | asked | niobium | CC BY-SA 4.0 |