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May 27, 2024, 08:11:39 am

Author Topic: The solutions of differential equation dy/dx = f(y)  (Read 1516 times)  Share 

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bubbles

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The solutions of differential equation dy/dx = f(y)
« on: August 06, 2008, 05:36:59 pm »
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Mao

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Re: The solutions of differential equation dy/dx = f(y)
« Reply #1 on: August 06, 2008, 06:15:27 pm »
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?
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bubbles

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Re: The solutions of differential equation dy/dx = f(y)
« Reply #2 on: August 06, 2008, 06:29:15 pm »
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Mao

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Re: The solutions of differential equation dy/dx = f(y)
« Reply #3 on: August 06, 2008, 06:30:50 pm »
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i can't see it :P photo is moved or deleted?
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ed_saifa

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Re: The solutions of differential equation dy/dx = f(y)
« Reply #4 on: August 06, 2008, 06:33:03 pm »
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Maybe because when they integrated it, they made it into an inverse cos instead of an inverse sine?
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Mao

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Re: The solutions of differential equation dy/dx = f(y)
« Reply #5 on: August 06, 2008, 06:34:44 pm »
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Maybe because when they integrated it, they made it into an inverse cos instead of an inverse sine?

what can you see it?!
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ed_saifa

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Re: The solutions of differential equation dy/dx = f(y)
« Reply #6 on: August 06, 2008, 06:37:04 pm »
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Maybe because when they integrated it, they made it into an inverse cos instead of an inverse sine?

what can you see it?!
Nope. I saw it before :P
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"It's not a community effort"
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"Probably for the first time time this year I was totally flabbergasted by some of the 'absolute junk' I had to correct .... I was going to use 'crap' but that was too kind a word"
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bubbles

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Re: The solutions of differential equation dy/dx = f(y)
« Reply #7 on: August 06, 2008, 06:46:28 pm »
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oh sorry >< my bad

bubbles

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Re: The solutions of differential equation dy/dx = f(y)
« Reply #8 on: August 06, 2008, 06:49:25 pm »
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Maybe because when they integrated it, they made it into an inverse cos instead of an inverse sine?

Yeah maybe the answer at the back (Essentials) is wrong, just wanted to make sure  ;D

bubbles

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Re: The solutions of differential equation dy/dx = f(y)
« Reply #9 on: August 06, 2008, 06:50:40 pm »
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Another question:


Mao

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Re: The solutions of differential equation dy/dx = f(y)
« Reply #10 on: August 06, 2008, 06:57:42 pm »
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Bubbles: question 1:

the two expressions are equivalent:

(think graphically: translating the sin graph one quadrant to the left, you get cos!)
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Mao

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Re: The solutions of differential equation dy/dx = f(y)
« Reply #11 on: August 06, 2008, 07:02:45 pm »
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(this is the step you went wrong. forgot the minus in front of the ln(3-y)













« Last Edit: August 06, 2008, 07:09:59 pm by Mao »
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bubbles

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Re: The solutions of differential equation dy/dx = f(y)
« Reply #12 on: August 06, 2008, 07:15:32 pm »
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THANKS MAO!!!