MAT244-2018S > Web Bonus Problems

Web bonus problem--Week 3

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Zhiman Tang:

Yilin Ye:
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)

Shiyi Hou:

Yuming Song:

Jiayun Huang:

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