12-267/Homework Assignment 8 - Revision history

Dongwoo.kang at 03:55, 10 December 2012

2012-12-10T03:55:24Z

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	Solutions to HW8: [[User:Dongwoo.kang\|Dongwoo.kang]]		Solutions to HW8: [[User:Dongwoo.kang\|Dongwoo.kang]]
	<gallery>		<gallery>
	Image:~~Hw08~~-1.jpg\|page 1		Image:12-267(HW8-1).jpg\|page 1
	Image:~~Hw08~~-2.jpg\|page 2		Image:12-267(HW8-2).jpg\|page 2
	Image:~~Hw08~~-3.jpg\|page 3		Image:12-267(HW8-3).jpg\|page 3
	Image:~~Hw08~~-4.jpg\|page 4		Image:12-267(HW8-4).jpg\|page 4
	Image:~~Hw08~~-5.jpg\|page 5		Image:12-267(HW8-5).jpg\|page 5
	Image:~~Hw08~~-6.jpg\|page 6		Image:12-267(HW8-6).jpg\|page 6
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	Image:~~Hw08~~-8.jpg\|page 8		Image:12-267(HW8-8).jpg\|page 8
	Image:~~Hw08~~-9.jpg\|page 9		Image:12-267(HW8-9).jpg\|page 9
	</gallery>		</gallery>

Dongwoo.kang at 14:52, 7 December 2012

2012-12-07T14:52:45Z

← Older revision		Revision as of 10:52, 7 December 2012
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	Solutions to HW8: [[User:Dongwoo.kang\|Dongwoo.kang]]		Solutions to HW8: [[User:Dongwoo.kang\|Dongwoo.kang]]
	<gallery>		<gallery>
	Image:~~hw08~~-1.jpg\|page 1		Image:Hw08-1.jpg\|page 1
	Image:~~hw08~~-2.jpg\|page 2		Image:Hw08-2.jpg\|page 2
	Image:~~hw08~~-3.jpg\|page 3		Image:Hw08-3.jpg\|page 3
	Image:~~hw08~~-4.jpg\|page 4		Image:Hw08-4.jpg\|page 4
	Image:~~hw08~~-5.jpg\|page 5		Image:Hw08-5.jpg\|page 5
	Image:~~hw08~~-6.jpg\|page 6		Image:Hw08-6.jpg\|page 6
	Image:~~hw08~~-7.jpg\|page 7		Image:Hw08-7.jpg\|page 7
	Image:~~hw08~~-8.jpg\|page 8		Image:Hw08-8.jpg\|page 8
	Image:~~hw08~~-9.jpg\|page 9		Image:Hw08-9.jpg\|page 9
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Dongwoo.kang at 22:18, 6 December 2012

2012-12-06T22:18:17Z

← Older revision		Revision as of 18:18, 6 December 2012
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	[http://imgur.com/a/xEiAw#0 Solutions] [[User:Vsbdthrsh\|Vsbdthrsh]]		[http://imgur.com/a/xEiAw#0 Solutions] [[User:Vsbdthrsh\|Vsbdthrsh]]

			Solutions to HW8: [[User:Dongwoo.kang\|Dongwoo.kang]]
			<gallery>
			Image:hw08-1.jpg\|page 1
			Image:hw08-2.jpg\|page 2
			Image:hw08-3.jpg\|page 3
			Image:hw08-4.jpg\|page 4
			Image:hw08-5.jpg\|page 5
			Image:hw08-6.jpg\|page 6
			Image:hw08-7.jpg\|page 7
			Image:hw08-8.jpg\|page 8
			Image:hw08-9.jpg\|page 9
			</gallery>

Vsbdthrsh at 21:01, 4 December 2012

2012-12-04T21:01:58Z

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	'''Task 4.''' An equation <math>p(x)y''+q(x)y'+r(x)y=0</math> is said to have a regular singular at <math>x=\infty</math> if the equation obtained from it by the change of substitution <math>x=1/t</math> has a regular singular point at <math>t=0</math>. Write explicitly the conditions on <math>p</math>, <math>q</math>, and <math>r</math> that this entails.		'''Task 4.''' An equation <math>p(x)y''+q(x)y'+r(x)y=0</math> is said to have a regular singular at <math>x=\infty</math> if the equation obtained from it by the change of substitution <math>x=1/t</math> has a regular singular point at <math>t=0</math>. Write explicitly the conditions on <math>p</math>, <math>q</math>, and <math>r</math> that this entails.

			{{Template:12-267:Dror/Students Divider}}

			[http://imgur.com/a/xEiAw#0 Solutions] [[User:Vsbdthrsh\|Vsbdthrsh]]

Drorbn at 00:32, 25 November 2012

2012-11-25T00:32:32Z

← Older revision		Revision as of 20:32, 24 November 2012
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	{{12-267/Navigation}}		{{12-267/Navigation}}
	{{In Preparation}}
	This assignment is due in class on Tuesday November 27. Here and everywhere, '''neatness counts!!''' You may be brilliant and you may mean just the right things, but if your readers have a hard time deciphering your work they will give up and assume it is wrong.		This assignment is due in class on Tuesday November 27. Here and everywhere, '''neatness counts!!''' You may be brilliant and you may mean just the right things, but if your readers have a hard time deciphering your work they will give up and assume it is wrong.

Drorbn at 23:30, 21 November 2012

2012-11-21T23:30:37Z

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	(You are allowed to use complex numbers within the derivation, but your solutions should be real-valued).		(You are allowed to use complex numbers within the derivation, but your solutions should be real-valued).

	'''Task 3.''' Using power series, find <u>two</u> linearly independent solutions for the ~~equation~~		'''Task 3.''' Using power series, find <u>two</u> linearly independent solutions for each of the equations
	~~<center>~~<math>2xy''+y'+xy=0</math~~></center~~>		# <math>2xy''+y'+xy=0</math>
			# <math>x^2y''+xy'+2xy=0</math>

			'''Task 4.''' An equation <math>p(x)y''+q(x)y'+r(x)y=0</math> is said to have a regular singular at <math>x=\infty</math> if the equation obtained from it by the change of substitution <math>x=1/t</math> has a regular singular point at <math>t=0</math>. Write explicitly the conditions on <math>p</math>, <math>q</math>, and <math>r</math> that this entails.
	'''Task 4.'''

Drorbn at 22:49, 21 November 2012

2012-11-21T22:49:18Z

← Older revision		Revision as of 18:49, 21 November 2012
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	This assignment is due in class on Tuesday November 27. Here and everywhere, '''neatness counts!!''' You may be brilliant and you may mean just the right things, but if your readers have a hard time deciphering your work they will give up and assume it is wrong.		This assignment is due in class on Tuesday November 27. Here and everywhere, '''neatness counts!!''' You may be brilliant and you may mean just the right things, but if your readers have a hard time deciphering your work they will give up and assume it is wrong.

			'''Task 1.''' Find the singular (that is, non-ordinary) points of the equation below, and for each one decide if it is regular or not:
⚫	'''Task 1.'''
			<center><math>x(1-x^2)^3y''+(1-x^2)^2y'+2(1+x)y=0</math></center>

			'''Task 2.''' Find the general solution of the following two equations:
			# <math>x^2y''-3xy'+4y=0</math>
			# <math>x^2y''+2xy'+y=0</math>
			(You are allowed to use complex numbers within the derivation, but your solutions should be real-valued).

			'''Task 3.''' Using power series, find <u>two</u> linearly independent solutions for the equation
			<center><math>2xy''+y'+xy=0</math></center>

		⚫	'''Task 4.'''

Drorbn at 00:38, 20 November 2012

2012-11-20T00:38:17Z

New page

{{12-267/Navigation}}
{{In Preparation}}
This assignment is due in class on Tuesday November 27. Here and everywhere, '''neatness counts!!''' You may be brilliant and you may mean just the right things, but if your readers have a hard time deciphering your work they will give up and assume it is wrong.

'''Task 1.'''

← Older revision		Revision as of 23:55, 9 December 2012
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	Solutions to HW8: [[User:Dongwoo.kang\|Dongwoo.kang]]		Solutions to HW8: [[User:Dongwoo.kang\|Dongwoo.kang]]
	<gallery>		<gallery>
	Image:~~Hw08~~-1.jpg\|page 1		Image:12-267(HW8-1).jpg\|page 1
	Image:~~Hw08~~-2.jpg\|page 2		Image:12-267(HW8-2).jpg\|page 2
	Image:~~Hw08~~-3.jpg\|page 3		Image:12-267(HW8-3).jpg\|page 3
	Image:~~Hw08~~-4.jpg\|page 4		Image:12-267(HW8-4).jpg\|page 4
	Image:~~Hw08~~-5.jpg\|page 5		Image:12-267(HW8-5).jpg\|page 5
	Image:~~Hw08~~-6.jpg\|page 6		Image:12-267(HW8-6).jpg\|page 6
	Image:~~Hw08~~-7.jpg\|page 7		Image:12-267(HW8-7).jpg\|page 7
	Image:~~Hw08~~-8.jpg\|page 8		Image:12-267(HW8-8).jpg\|page 8
	Image:~~Hw08~~-9.jpg\|page 9		Image:12-267(HW8-9).jpg\|page 9
	</gallery>		</gallery>

← Older revision		Revision as of 10:52, 7 December 2012
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	Solutions to HW8: [[User:Dongwoo.kang\|Dongwoo.kang]]		Solutions to HW8: [[User:Dongwoo.kang\|Dongwoo.kang]]
	<gallery>		<gallery>
	Image:~~hw08~~-1.jpg\|page 1		Image:Hw08-1.jpg\|page 1
	Image:~~hw08~~-2.jpg\|page 2		Image:Hw08-2.jpg\|page 2
	Image:~~hw08~~-3.jpg\|page 3		Image:Hw08-3.jpg\|page 3
	Image:~~hw08~~-4.jpg\|page 4		Image:Hw08-4.jpg\|page 4
	Image:~~hw08~~-5.jpg\|page 5		Image:Hw08-5.jpg\|page 5
	Image:~~hw08~~-6.jpg\|page 6		Image:Hw08-6.jpg\|page 6
	Image:~~hw08~~-7.jpg\|page 7		Image:Hw08-7.jpg\|page 7
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	Image:~~hw08~~-9.jpg\|page 9		Image:Hw08-9.jpg\|page 9
	</gallery>		</gallery>

← Older revision		Revision as of 18:18, 6 December 2012
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	[http://imgur.com/a/xEiAw#0 Solutions] [[User:Vsbdthrsh\|Vsbdthrsh]]		[http://imgur.com/a/xEiAw#0 Solutions] [[User:Vsbdthrsh\|Vsbdthrsh]]

			Solutions to HW8: [[User:Dongwoo.kang\|Dongwoo.kang]]
			<gallery>
			Image:hw08-1.jpg\|page 1
			Image:hw08-2.jpg\|page 2
			Image:hw08-3.jpg\|page 3
			Image:hw08-4.jpg\|page 4
			Image:hw08-5.jpg\|page 5
			Image:hw08-6.jpg\|page 6
			Image:hw08-7.jpg\|page 7
			Image:hw08-8.jpg\|page 8
			Image:hw08-9.jpg\|page 9
			</gallery>