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APM346-2022S
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APM346--Lectures & Home Assignments
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Chapter 2
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f(x) in Method of Characteristics
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Topic: f(x) in Method of Characteristics (Read 669 times)
Yifei Hu
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f(x) in Method of Characteristics
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on:
February 01, 2022, 09:47:20 AM »
In solving the problem $2U_t+3U_x=0, U(0,x)=f(x)$, tutorial gave answer $U=f(x-\frac{3}{2}t)$ while I have $U=f(3t-2x)$. Are both answers valid? We can use different form of C as long as it represent the same family of characteristics right?
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Last Edit: February 01, 2022, 09:51:54 AM by Yifei Hu
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Victor Ivrii
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Re: f(x) in Method of Characteristics
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Reply #1 on:
February 01, 2022, 12:12:52 PM »
Yes, there are many answers which are correct because they include arbitrary functions (and in ODE arbitrary constants)
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Toronto Math Forum
»
APM346-2022S
»
APM346--Lectures & Home Assignments
»
Chapter 2
»
f(x) in Method of Characteristics