- #1
tristyn
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Homework Statement
64y''+144y'=0
y1(0)=1 y'1(0)=0
and
y2(0)=0 and y'2(0)=1
Homework Equations
y1=c1*e^(r1*t) + c2*e^(r2*t)
The Attempt at a Solution
I start by finding the characteristic equation:
64r^2+144r=0
r1=-9/4 and r2=0
y1=c1e(r1*t) + c2e(r2*t)
so I get
y1=c1e^(-9/4 *t) + c2e^(0*t)
e^(0*t) = 1 will always = 0, which gives
y1=c1e^(-9/4 *t) + c2(1)
so I suppose I am asking if I started this wrong or if not, because I need y'1.
With these values I would have:
y'1=(-9/4)c1e^(-9/4 *t) + 0(c2)
?? because the derivative of 1 is zero
Is this correct or have I gone about the problem in the wrong way?