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Messages - Victor Ivrii

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1
Chapter 4 / Re: When is it a good idea to assume solutions are separable?
« on: February 27, 2023, 09:28:36 AM »
If domain is "simple" in the appropriate coordinate system it is a good idea to try to find such solutions. For linear equations we even can construct general solutions as linear combinations of such solutions. Details in the class later.

2
Chapter 3 / Re: Solving Heat equation
« on: February 13, 2023, 08:26:20 PM »
I will post solutions to show that all the integrals can be computed using elementary functions and $\operatorname{erf}(.)$

3
Quiz 1 / Re: Quiz 1 solution
« on: January 29, 2023, 08:22:28 AM »
Yes––as long as you post your variant solution

4
Chapter 1 / Re: Ch.1.1 - 8
« on: January 23, 2023, 06:41:49 AM »
yes, it is

5
Chapter 1 / Re: Ch.1.2(16)
« on: January 22, 2023, 03:32:12 PM »

11
Chapter 5 / Re: Chapter 5.3 Problem 1.1
« on: March 13, 2022, 04:19:38 PM »
You are right, it was a misprint

12
Test 1 / Re: Test 1 coverage
« on: March 03, 2022, 12:11:32 PM »
Look at samples posted

13
Test 1 / Re: Test 1 Wave equation and Heat equation questions
« on: March 01, 2022, 11:21:39 AM »
Yes, you need to perform calculations

14
Chapter 3 / Re: Chapter 3.1 Theorem 4
« on: February 27, 2022, 07:52:52 PM »
Indeed, to be corrected. Thanks

15
Chapter 2 / Re: Derivation of D' Alembert formula under Characteristic Coordinate
« on: February 21, 2022, 04:34:15 AM »
Quote
But how does this qualify us to replace the indefinite integral with the definite one?

Did you take Calculus I? Then you must know that if the preimitive (indefinite integral) is a set of definite integrals which differ by an arbitrary constant.

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