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Goryan [66]
2 years ago
15

may you please help me :D

Mathematics
1 answer:
anygoal [31]2 years ago
7 0

Answer:

A is what i got

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
What is the volume of a rectangular prism with side lengths 15.8m, 24.5m, and 4.2m?
vampirchik [111]

Answer: A = 1,625.82 m³

Step-by-step explanation:

   The volume of a rectangular prism can be found with;

             A = L * W * H

             A = L * W * H

             A = (15.8m) * (24.5m) * (4.2m)

             A = 1,625.82 m³

   <em>Read more about </em><em>finding the volume of a rectangular prism</em><em> here:</em>

<em>brainly.com/question/28006486</em>

3 0
2 years ago
Read 2 more answers
 10  points for this                                                                                                            
kow [346]
<span>The range would be all real numbers such that 0 ≤ y ≤ 40.

hope this helps!</span>
3 0
3 years ago
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Michelle can run 5.44 miles in 68 minutes. What is Michelle's average speed, in miles per minute?
uranmaximum [27]
5.44 miles/68 minutes=
.08 miles/minute
7 0
3 years ago
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The teacher realizes that a mistake was made and the student whose score was recorded as 49%
statuscvo [17]

Answer:

? whattt

Step-by-step explanation:

3 0
3 years ago
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