2 years ago

(4k3 +3k3) - (5k3 + 2k4)

Mathematics

2 answers:

Y_Kistochka [10]2 years ago

8 0

Answer: You combine like terms

2k^3-2k^4

Juliette [100K]2 years ago

5 0

Answer:

-2k

Step-by-step explanation:

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Artemon [7]

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Step-by-step explanation:

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3 years ago

A kilobyte is 210 bytes and a megabyte is 220 bytes. How many kilobytes are in a megabyte? 2200 kilobytes 230 kilobytes 210 kilo

rjkz [21]

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3 years ago

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Find a particular solution to the differential equation y′′+2y′+y=2t2−t+3e−2t. y′′+2y′+y=2t2−t+3e−2t.

Jlenok [28]

$y''+2y'+y=2t^2-t+3e^{-2t}$

The characteristic equation is

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so the characteristic solution is

$y_c=C_1e^{-t}+C_2te^{-t}$

For the particular solution, we can try looking for a solution of the form

$y_p=at^2+bt+c+de^{-2t}$
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$\implies{y_p}''=2a+4de^{-2t}$

Substituting into the ODE, we have

$(2a+4de^{-2t})+2(2at+b-2de^{-2t})+(at^2+bt+c+de^{-2t})=2t^2-t+3e^{-2t}$
$at^2+(4a+b)t+(2a+2b+c)+de^{-2t}=2t^2-t+3e^{-2t}$
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So the general solution to the ODE is

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3 years ago

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elixir [45]

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3 years ago

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marin [14]

120/6 = 20 so 1/6 of 120 is 20

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4 years ago