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Toronto Math Forum
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APM346-2018S
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APM346--Tests
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Quiz-1
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Q1-T0101-P1,2
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Topic: Q1-T0101-P1,2 (Read 4401 times)
Jingxuan Zhang
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Posts: 106
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Q1-T0101-P1,2
«
on:
January 25, 2018, 01:10:48 PM »
1. General solution of
$$u_{xy}=e^{x+y}\implies u_{x}=e^{x+y}+\varphi_{x}(x)\implies e^{x+y}+\varphi(x)+\psi(y)$$
2. General solution of
$$u_{t}+(x^2+1) u_{x}=0 \implies C=\arctan(x)-t \implies u=\varphi(\arctan (x)-t)$$
«
Last Edit: January 27, 2018, 07:15:47 AM by Victor Ivrii
»
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Victor Ivrii
Administrator
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Re: Thursday Session
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Reply #1 on:
January 25, 2018, 05:19:36 PM »
Please, write equation of characteristics before integrating it
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Ioana Nedelcu
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Re: Thursday Session
«
Reply #2 on:
January 25, 2018, 10:15:48 PM »
The original integral is $$ \frac{dt}{1} = \frac{dx}{x^2 + 1} = 0 $$
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Toronto Math Forum
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APM346-2018S
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Quiz-1
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Q1-T0101-P1,2