Author Topic: TUT0101 Quiz3  (Read 16 times)

Xieming8

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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