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SOVA2 [1]
2 years ago
10

Solve (D*D + 4)y = x + cos²x​

Mathematics
1 answer:
Sedaia [141]2 years ago
7 0

Answer:

(D^2 + 9)y = cos 2x….(1). The corresponding homogeneous equation is (D^2 +9)y= 0,…(2), whose auxiliary equation is m^2 + 9 = 0, which has (+/-)3i as roots. The general solution of (2) is y = A.cos(3x) + B.sin(3x). Now to get a general solution of (1) we have just to add to the above, a particular solution of (1). One such solution is [cos(2x)]/[-2^2 +9] = (1/5).cos 2x. Hence a general solution of the given equation is given by y = A.cos(3x) + B.sin(3x) + (1/5)cos(2x), where A and B are arbitrary constants. The above solution incorporates all the solutions of the given equation.

Step-by-step explanation:

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List the next 3 terms in the following sequence 1,2,4,8,16,32​
SashulF [63]
They are 64, 128, and 256 i do believe
6 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIEST
EastWind [94]

Answer:

Let coordinates of vertex D be (x,y)

In parallelogram diagonals are bisect each other.

∴ Mid-point of AC= Mid-point of BD

⇒ (

2

3+(−6)

,

2

−4+2

)=(

2

−1+x

,

2

−3+y

)

⇒ (

2

−3

,

2

−2

)=(

2

−1+x

,

2

−3+y

)

⇒ (

2

−3

,−1)=(

2

−1+x

,

2

−3+y

)

Now,

⇒

2

−3

=

2

−1+x

⇒ −6=−2+2x

⇒ −4=2x

∴ x=−2

⇒ −1=

2

−3+y

⇒ −2=−3+y

⇒ 1=y

∴ y=1

∴ Coordinates of vertex D is (−2,1)

7 0
2 years ago
Each point has been reflected over the x-axis or y-axis.
Amanda [17]

The reflection is

  • x-axis
  • x-axis
  • y-axis

<h3>What is reflection over axis?</h3>

A reflection of a point, a line, or a figure in the X axis involved reflecting the image over the x axis to create a mirror image. In this case, the x axis would be called the axis of reflection.

For reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same.

and, for reflecting over the Y axis is to negate the value of the x-coordinate of each point, but leave the y value the same.

So, by considering the above value rules the reflection of the given points as follows over respective axis.

E(7, 1) ⇒ (7, -1)

Here, the reflection is over x-axis because the y value is changing

F(-3, 5) ⇒ (-3, -5)

Here, the reflection is over x-axis because the y value is changing

G(6, -2) ⇒ (-6, -2)

Here, the reflection is over y-axis because the x value is changing.

Learn more about this concept here:

brainly.com/question/15175017

#SPJ1

4 0
2 years ago
0 2. What is the area of a rectangle with a width of 6.5 feet and a length of 14 feet?
photoshop1234 [79]

Answer:

Area=91 ft^2

Step-by-step explanation:

Area=length*width

Area= 14*6.5

Area=91 ft^2

5 0
3 years ago
Please help! Correct answer only, please! I need to finish this assgnment this week! Matrix P has a dimensions of 3 X 4 and Matr
Temka [501]

Answer: C

Step-by-step explanation:

Your answer is correct! When you multiply 2 matrices, the inner dimensions have to be equal. If they are equal, the resulting dimensions would be the outer dimentions.

(<u>3</u>×4)(4×<u>5</u>)

Since the inner (bolded) dimensions are the same, in this case 4×4, we know these matrices can be multiplied.

Since these matrices can be multiplied, the product will be 3×5, the underlined outer dimensions.

4 0
3 years ago
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