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vpde_errata [2020/04/09 09:09] trinh [Solutions] |
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* PS6 Q1. The function $\sin(x)\exp(-\cos(x^2))$ is indeed not periodic but not for the reasons stated in the solutions. The point here is that $\cos(x^2)$ is not a periodic function. You can verify this either by checking whether it's possible that $(x+L)^2 = x^2 + n\pi$ independent of $x$, or simply by plotting the $\cos($x^2)$ and observing its behaviour, particularly near the origin. | * PS6 Q1. The function $\sin(x)\exp(-\cos(x^2))$ is indeed not periodic but not for the reasons stated in the solutions. The point here is that $\cos(x^2)$ is not a periodic function. You can verify this either by checking whether it's possible that $(x+L)^2 = x^2 + n\pi$ independent of $x$, or simply by plotting the $\cos($x^2)$ and observing its behaviour, particularly near the origin. | ||
* **PS9 Q2:** There is a missing factor of $p$ on the bottom here. See Lecture 29. | * **PS9 Q2:** There is a missing factor of $p$ on the bottom here. See Lecture 29. | ||
+ | * **PS9 Q4:** Looks like axes were doubled here. //(Courtesy RA, HC)// | ||
==== Lectures ==== | ==== Lectures ==== | ||
* Correction to {{ : | * Correction to {{ : |