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andrew-mc [135]

2 years ago

12

I need help with this pls :)

1 answer:

Elza [17]2 years ago

3 0

Wht is tht ummmmm dvdhshsjehrjsjhrgrhshsj

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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

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

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3 years ago

What is one plus one

Ronch [10]

Answer:

2

Step-by-step explanation:

1+1=2

5 0

2 years ago

Read 2 more answers

Slope-intercept passes through (-2,1) and (2,-5)

Elenna [48]

I wish i knew but i need points sorry

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3 years ago

Skills Practice: convert the following fractions into decimals. You must show your

Lina20 [59]

ANSWER:
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i attached my work, hope this helps

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2 years ago

,does a polygon usually have more sides or angles.explain

Advocard [28]

they have the same amount of sides as they do angles,

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