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Messages - Jinqiu Liang

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Test 2 / Question about the Steps in Test 2 PS Friday Sitting
« on: March 30, 2022, 01:12:28 PM »
I am confused about the steps in Test 2 problem set Friday sitting question 4.
 
When dealing with the Fourier transform of the even continuation, in the second step, why x of the first part of the integral can be integrated out, but the second not. In other words, can someone explain to me how the second step's equation form based on the first step?

Thank you guys so much! I have attached the problem's picture below.

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Chapter 2 / Re: Textbook Section2.1 Example5
« on: September 17, 2020, 10:05:46 AM »
In my opinion, firstly this question is an initial value problem, which means the number that the equation (y(0)=1) gives you is the lower limit of the integral, which is 0. You can also use the upper bound, however, if t is infinity, then we can not substitute t as a number into the equation and then solve it. In this way, choosing the lower limit number 0 is the easiest and the fastest method.

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