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Alexus [3.1K]
3 years ago
13

Will give brainliest please help

Mathematics
1 answer:
Romashka [77]3 years ago
8 0
Answer 2/5. It says there are 5 people and 3 of them have done their hw and 2 have not cause 5-3=2.
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4 0
3 years ago
Uppose y(t)=9e−5t
adoni [48]
If y(t)=9e^{-5t} satisfies the ODE y'-ky=0, then

y'(t)=-45e^{-5t}

and substituting into the ODE gives

-45e^{-5t}-9ke^{-5t}=0\implies k=-5

so that the ODE is y'+5y=0.

I'm assuming that you're also supposed to determine the initial value y_0 given this ODE. You have

y'+5y=0\implies e^{5t}y'+5e^{5t}y=0\implies(e^{5t}y)'=0\implies e^{5t}y=C\implies y=Ce^{-5t}

Given y(0)=y_0, you have

y_0=C

but since you already know that y=9e^{-5t}, it follows that C=9, and in turn that y_0=9.
5 0
3 years ago
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