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Toronto Math Forum
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MAT244-2018S
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MAT244––Home Assignments
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Web Bonus Problems
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Web bonus problem--Week 3
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Topic: Web bonus problem--Week 3 (Read 14817 times)
Catherine Yue
Newbie
Posts: 2
Karma: 0
Re: Web bonus problem--Week 3
«
Reply #15 on:
January 22, 2018, 10:12:39 PM »
a. y=sint/3+c/(sint)^2
b. y=sint/3
c. y=sint/3
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Tiange Gao
Newbie
Posts: 2
Karma: 0
Re: Web bonus problem--Week 3
«
Reply #16 on:
January 22, 2018, 10:19:26 PM »
The attached is my solution. Thank you
«
Last Edit: January 22, 2018, 10:33:51 PM by Tiange Gao
»
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Kaiying Jiang
Newbie
Posts: 2
Karma: 0
Re: Web bonus problem--Week 3
«
Reply #17 on:
January 22, 2018, 10:27:45 PM »
The final answer is:(detail steps are in attachment)
a. y=1/3*sint+c*[sin(t)]^(-2)
b. When c=0, y=1/3*sin(t)
c. When y=1/3*sin(t), definable on negative infinity to positive infinity, and periodic of 2∏, which is 2 times of Pi.
«
Last Edit: January 22, 2018, 10:40:24 PM by Kaiying Jiang
»
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Shirley Wen
Newbie
Posts: 1
Karma: 0
Re: Web bonus problem--Week 3
«
Reply #18 on:
January 22, 2018, 10:30:57 PM »
«
Last Edit: January 22, 2018, 10:40:25 PM by wenyaru1
»
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Kaiying Jiang
Newbie
Posts: 2
Karma: 0
Re: Web bonus problem--Week 3
«
Reply #19 on:
January 22, 2018, 10:37:11 PM »
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Zhiman Tang
Jr. Member
Posts: 6
Karma: 0
Re: Web bonus problem--Week 3
«
Reply #20 on:
January 22, 2018, 10:51:25 PM »
«
Last Edit: January 22, 2018, 10:55:05 PM by zhiman tang
»
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Yilin Ye
Newbie
Posts: 3
Karma: 0
Re: Web bonus problem--Week 3
«
Reply #21 on:
January 22, 2018, 11:04:08 PM »
a)
y′+2cot(t)y=cos(t).
p(t)=2cot(t)
I=e^∫2cot(t)dt
=e^2∫cos(t)/sin(t)dt
=e^2ln|sin(t)|
=e^ln|sin(t)|^2
=sin(t)^2
sin(t)^2y′+2cot(t)sin(t)^2y=cos(t)sin(t)^2
(sin(t)^2y)'=cos(t)sin(t)^2
sin(t)^2y=∫cos(t)sin(t)^2dt
=1/3sin(t)^3+c
y=1/3sin(t)+csin(t)^-2
b)let c=0 y=1/3sin(t)
c)let c=0 y=1/3sin(t)
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Shiyi Hou
Newbie
Posts: 1
Karma: 0
Re: Web bonus problem--Week 3
«
Reply #22 on:
January 22, 2018, 11:12:03 PM »
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Yuming Song
Newbie
Posts: 1
Karma: 0
Re: Web bonus problem--Week 3
«
Reply #23 on:
January 22, 2018, 11:20:42 PM »
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Jiayun Huang
Newbie
Posts: 1
Karma: 0
Re: Web bonus problem--Week 3
«
Reply #24 on:
January 22, 2018, 11:28:08 PM »
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Ge Shi
Jr. Member
Posts: 8
Karma: 3
Re: Web bonus problem--Week 3
«
Reply #25 on:
January 22, 2018, 11:35:40 PM »
«
Last Edit: January 23, 2018, 12:12:47 AM by Ge Shi
»
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Yatong Yu
Jr. Member
Posts: 6
Karma: 6
Re: Web bonus problem--Week 3
«
Reply #26 on:
January 22, 2018, 11:43:54 PM »
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Ge Shi
Jr. Member
Posts: 8
Karma: 3
Re: Web bonus problem--Week 3
«
Reply #27 on:
January 22, 2018, 11:49:46 PM »
I already uploaded my solution in reply#30. Sorry for posting the message twice...
«
Last Edit: January 23, 2018, 12:15:11 AM by Ge Shi
»
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Jiayuwjy Wu
Newbie
Posts: 1
Karma: 0
Re: Web bonus problem--Week 3
«
Reply #28 on:
January 22, 2018, 11:50:22 PM »
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Roberto Hechen
Newbie
Posts: 1
Karma: 0
Re: Web bonus problem--Week 3
«
Reply #29 on:
January 22, 2018, 11:57:21 PM »
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« previous
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Toronto Math Forum
»
MAT244-2018S
»
MAT244––Home Assignments
»
Web Bonus Problems
»
Web bonus problem--Week 3