3 years ago

Write the rate as a unit rate. 180 miles on 6 gallons

Mathematics

1 answer:

STatiana [176]3 years ago

3 0

180 mi/6 gal = 30 mi/gal

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Deffense [45]

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Bad White [126]

Answer:

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Consider xưy" – 14xy' + 56y = 0. Find all values of r such that y=x" satisfies the differential equation for x > 0. Enter as

beks73 [17]

I bet the ODE is supposed to read

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$r^2-15r+56=(r-8)(r-7)=0\implies \boxed{r=8\text{ or }r=7}$

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Given that $y(1)=4$ and $y'(1)=3$ , we get

$\begin{cases}4=C_1+C_2\\3=8C_1+7C_2\end{cases}\implies C_1=-25\text{ and }C_2=29$

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igor_vitrenko [27]

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