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MAT244--2018F
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Notation & Linear
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Topic: Notation & Linear (Read 1733 times)
Zhiya Lou
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Posts: 12
Karma: 12
Notation & Linear
«
on:
September 16, 2018, 08:36:44 PM »
HI, I don't understand the notation from these question (sec1.3); And also about its linear/non-linear property... Thanks
22) $𝑢_{𝑥𝑥}+u_{𝑦𝑦}+𝑢𝑢_𝑥+𝑢𝑢_𝑦+u=0$
(why is it non linear?)
23) $u_{𝑥𝑥𝑥𝑥}+2u_{𝑥𝑥𝑦𝑦}+𝑢_{𝑦𝑦𝑦𝑦}=0$
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Last Edit: September 16, 2018, 10:34:09 PM by Victor Ivrii
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Kathryn Bucci
Jr. Member
Posts: 6
Karma: 2
Re: Notation & Linear
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Reply #1 on:
September 16, 2018, 10:03:41 PM »
$u_x$ = partial derivative of $u$ with respect to $x$
$u_{xx}$ = second partial derivative of $u$ with respect to $x$
22) is not linear because of the two terms where u is multiplied by $u_x$ and $u_y$
I fixed math expressions for both of you. "Edit" to see how it should be done-V.I.
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Last Edit: September 16, 2018, 10:35:28 PM by Victor Ivrii
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Toronto Math Forum
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MAT244--2018F
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Notation & Linear