Toronto Math Forum
Welcome,
Guest
. Please
login
or
register
.
1 Hour
1 Day
1 Week
1 Month
Forever
Login with username, password and session length
News:
Home
Help
Search
Calendar
Login
Register
Toronto Math Forum
»
MAT244--2019F
»
MAT244--Test & Quizzes
»
Quiz-3
»
TUT0101 Quiz3
« previous
next »
Print
Pages: [
1
]
Author
Topic: TUT0101 Quiz3 (Read 6307 times)
Mingdi Xie
Jr. Member
Posts: 14
Karma: 0
TUT0101 Quiz3
«
on:
October 12, 2019, 12:22:47 PM »
y’’-6y’+5y=0 y(0)=2 y’(0)=6
r^2-6r+5=0
(r-1)(r-5)=0
r=1 r=5
y(t)=c1e^-3t+c2e^-t
Since y(0)=2
y(0)=c1+c2=2
c2=2-c1 (1)
y’(t)=c1e^t+5c2e^5t
y’(0)=-1
y’(0)=c1+5c2=6
c2=4
c1=-2
And Wronskian doesn't equal 0
y(t)=-2e^t+4e^5t
Logged
Print
Pages: [
1
]
« previous
next »
Toronto Math Forum
»
MAT244--2019F
»
MAT244--Test & Quizzes
»
Quiz-3
»
TUT0101 Quiz3