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3 years ago

6

I really need help on this pls someone help

1 answer:

Paha777 [63]3 years ago

4 0

Answer:The answers can be calculated by the following steps;

Step-by-step explanation:

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Find a homogeneous linear differential equation with constant coefficients whose general solution is given by

frez [133]

Answer:

$y" + 2y' + 2y = 0$

Step-by-step explanation:

Given

$y=c_1e^{-x}cosx+c_2e^{-x}sinx$

Required

Determine a homogeneous linear differential equation

Rewrite the expression as:

$y=c_1e^{\alpha x}cos(\beta x)+c_2e^{\alpha x}sin(\beta x)$

Where

$\alpha = -1$ and $\beta = 1$

For a homogeneous linear differential equation, the repeated value m is given as:

$m = \alpha \± \beta i$

Substitute values for $\alpha$ and $\beta$

$m = -1 \± 1*i$

$m = -1 \± i$

Add 1 to both sides

$m +1= 1 -1 \± i$

$m +1= \± i$

Square both sides

$(m +1)^2= (\± i)^2$

$m^2 + m + m + 1 = i^2$

$m^2 + 2m + 1 = i^2$

In complex numbers:

$i^2 = -1$

So, the expression becomes:

$m^2 + 2m + 1 = -1$

Add 1 to both sides

$m^2 + 2m + 1 +1= -1+1$

$m^2 + 2m + 2= 0$

This corresponds to the homogeneous linear differential equation

$y" + 2y' + 2y = 0$

6 0

3 years ago

HELP! HELP! SAVE ME FROM THIS NIGHTMARE!!!

bazaltina [42]

Answer: x ≥ 6

Step-by-step explanation:

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2 years ago

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Your weekly salary is $150. you also earn $20 commission for each cell phone that you sell. write an expression to represent the

Vlad1618 [11]

150 + 20x, where x is the number of cellphones sold

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3 years ago

A number sentence is shown below: 45 1/3 / 1/6 272 Part A: Create a story or context for this number sentence. (4 points) Part B

tino4ka555 [31]

Answer:

1/3 / 1/6 272 Part A: Create a story or context for this number sentence.

Step-by-step explanation:

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3 years ago

If a celebrity charges $0.125 million for a 5 second commercial, how much will he be paid for a 45-second appearance?

Nitella [24]

I got a. I multiplied 0.125 by 45 and got 5.625. I then divided 5.625 by five an got 1.125. I'm not really sure about my answer, so I did it another way. I divided .125 by five and got .025 so I multiplied that by 45 and got 1.125. I multiplied 1.125 by 1000 and got A.

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3 years ago