4 years ago

Please help Solve the system by substitution:

Mathematics

1 answer:

Mamont248 [21]4 years ago

3 0

Multiply the first equation by negative 3 and then add that new equation to the second one

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Let y′′′−9y′′+20y′=0. find all values of r such that y=erx satisfies the differential equation. if there is more than one correc

DerKrebs [107]

we are given

differential equation as

$y'''-9y''+20y'=0$

we are given

$y=e^{rx}$

Firstly, we will find y' , y'' and y'''

those are first , second and third derivative

First derivative is

$y'=re^{rx}$

Second derivative is

$y''=r*re^{rx}$

$y''=r^2e^{rx}$

Third derivative is

$y'''=r^2*re^{rx}$

$y'''=r^3e^{rx}$

now, we can plug these values into differential equation

and we get

$r^3 e^{rx}-9r^2 e^{rx}+20re^{rx}=0$

now, we can factor out common terms

$e^{rx}(r^3 -9r^2 +20r)=0$

we can move that term on right side

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now, we can factor out

$r(r^2 -9r +20)=0$

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now, we can set them equal

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$r-5=0$

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$r=4$

so, we will get

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4 years ago

What is the fifteenth term in the sequence 12, 24, 36, 48, 60…?

spayn [35]

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2 years ago