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OpenStudy (anonymous):
Suppose y(t)=9e^(−5t) is a solution of the initial value problem y′+ky=0, y(0)=y0. What are the constants k and y0?
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OpenStudy (turingtest):
plug y(t)=9e^(−5t) into the differential equation and what do you get?
OpenStudy (anonymous):
y′+k9e^(−5t)=0 ??
OpenStudy (turingtest):
what is y' ?
OpenStudy (anonymous):
dy/dt right?
OpenStudy (turingtest):
yes, and what is that for the given y ?
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OpenStudy (anonymous):
-45e^(−5t) ?
OpenStudy (turingtest):
yes, plug that into the equation as well and solve for k
OpenStudy (anonymous):
45/9 thank you
OpenStudy (turingtest):
welcome
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