Phương trình vi phân y'' - 2y' -3y =0 có nghiệm tổng quát là ?

Answers

Answer 1

Answer:

y = c1 e^-x + c2 e^(3x)

Step-by-step explanation:

Review linear DE's

(D-3)(D+1)y = 0


Related Questions

Plz help me with this

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

a) A table and graph are attached.

__

b) The relationship is NOT PROPORTIONAL. The line does not go through the origin (0, 0).


The midpoint of AB is (1, 2). The coordinates of A are (-3,6).Find the coordinates of B.

Answers

Midpoint has coordinates [tex](x_m,y_m)[/tex] which equal to,

[tex]x_m=\frac{x_1+x_2}{2}[/tex]

[tex]y_m=\frac{y_1+y_2}{2}[/tex]

We know the coordinates of a midpoint as well as the coordinates of [tex]A(x_1,y_1)[/tex] so we should be able to find coordinates of [tex]B(x_2,y_2)[/tex].

First solve both equations for [tex]x_2[/tex] and [tex]y_2[/tex] respectively,

[tex]x_2=2x_m-x_1[/tex]

[tex]y_2=2y_m-y_1[/tex]

Now insert the data,

[tex]x_2=2\cdot1-(-3)=\boxed{5}[/tex]

[tex]y_2=2\cdot2-6=\boxed{-2}[/tex]

The coordinates of B are therefore [tex](5,-2)[/tex].

Hope this helps :)

The midpoint of AB is (1, 2) the coordinates of A are (-3,6) coordinates of B coordinates of point B are (5, -2).

To find the coordinates of point B given that the midpoint of AB is (1, 2) and the coordinates of A are (-3, 6),  use the midpoint formula:

Midpoint formula: M(x, y) = ((x1 + x2) / 2, (y1 + y2) / 2)

Given that M is the midpoint (1, 2) and A is (-3, 6), we have:

(1, 2) = ((-3 + x2) / 2, (6 + y2) / 2)

Solve for x2 and y2:

For x-coordinate:

1 = (-3 + x2) / 2

2 = -3 + x2

x2 = 2 + 3

x2 = 5

For y-coordinate:

2 = (6 + y2) / 2

4 = 6 + y2

y2 = 4 - 6

y2 = -2

To know more about coordinates here

https://brainly.com/question/32836021

#SPJ3

what times we subtract the number 80 by 8​

Answers

Answer:

Question unclear

Step-by-step explanation:Your probally asking what times 8 gives us 80. If you are than 10!

Please help solve please

Answers

Answer:

The choose D) -12

Step-by-step explanation:

[tex]3 {x}^{ - 4} \times x {y}^{2} \\ 3( { - 1}^{ - 4} ) \times ( - 1)(2)^{2} \\ \frac{3}{ - 1^{4} } \times - 1(4) \\ 3 \times - 4 \\ = - 12[/tex]

I hope I helped you^_^

The answer is -12
The picture below explains it

can anyone help me out with this one?

Answers

a(n)=a1 + (n-1)d
a1=12
d=5-12=-7
a(n) = 12+(n-1)(-7)

3. Consider the multiplication operations below and choose whether the fosuit com
be rational, Inational, or both.
Irrational
Expressions
Rational
8. VE
О
tvo. V
V3.12
о

Answers

Answer:

1st expression= rational 2nd expression= rational 3rd expression = irrational

Step-by-step explanation:

The first and second expressions are rational because they both equal whole numbers (4 and 3) while the last expression equals a decimal that goes on forever with no end, thus making it irrational.

What is the value of (-1/4 - 1/2) ÷ (-4/7)

Answers

Answer:

1 5/16

Step-by-step explanation:

(-1/4 - 1/2) ÷ (-4/7)

Parentheses first

Get a common denominator

(-1/4 - 1/2 *2/2)

(-1/4 - 2/4)

-3/4

Replace in the equation

(-3/4 ) ÷ (-4/7)

Copy dot flip

-3/4 * -7/4

21/16

1 5/16

[tex]\\ \rm\Rrightarrow \left(\dfrac{-1}{4}-\dfrac{1}{2}\right)\div \dfrac{-4}{7}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{-1-2}{4}\times\dfrac{-7}{4}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{-3}{4}\times \dfrac{-7}{4}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{21}{16}[/tex]

[tex]\\ \rm\Rrightarrow 1\dfrac{5}{16}[/tex]

How would you write 5x5x5x5x5x5 in exponential form

Answers

Answer:

5^6

Step-by-step explanation:

This is because the exponent is how many numbers are in the multiplication equation, in this case, five. Because there are six five's being multiplied together, our exponent is six.

a van is traveling 64 7/8 miles per hour. an airplane is traveling 5 6/7 times faster. about how fast is the airplane traveling? could u please help?

Answers

Answer:

it will be 736 speed faster than

Two cars start at the same point. One travels north at 65 km/h and the other travels east at 50 km/h. How far are they apart after 30 minutes?​

Answers

Answer:

they travel 115 km/h long

Could use help on this math problem ​

Answers

Answer:

78

90

86

96

09

Step-by-step explanation:

80

90

90

OK LA sir I will complete my work as soon as possible LA thank you la madam My name is now signing off

What number should be added to 2/8 to -1/12 get ?​

Answers

Answer:

-1/3

Step-by-step explanation:

this is the best answer

A triangle has side lengths of (7n-2p) centimeters, (2n+4q) centimeters, and (q-5p) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

Answers

Answer:

It is 9n - 7p + 5q

Step-by-step explanation:

Perimeter formular:

[tex]perimeter = (side + side + side)[/tex]

substitute:

[tex]p = \{(7n - 2p) + (2n + 4q) + (q - 5p) \} \\ [/tex]

group like terms together:

[tex] = (7n + 2n) + ( - 2p - 5p) + (4q + q) \\ = 9n - 7p + 5q[/tex]

State the gradient of the line 2y = 3 – 2x.

Answers

Answer:

Step-by-step explanation:

2y = 3-2x

y = -x + 3/2

Slope of line = coefficient of x = -1

Someone please help me with 13 and 14 I’m really struggling

Answers

Answer:

Step-by-step explanation:

i’m genuinely confused, please help

Answers

Answer:

2x + 3 + 3x +12 + 90 = 180 (degree )

5x +105=180 (degree )

5x= 180-105 (degree )

5x = 75 (degree )

x = 75/5 (degree )

x = 15 #

therefore, 2x + 3= 2*15 + 3

=30+3

= 33#

3x + 12 = 3*15+12

= 45 +12

= 57#

Rewrite x2 − 6x + 7 = 0 in the form (x − a)2 = b, where a and b are integers, to determine the a and b values.

a = 4 and b = 3
a = 3 and b = 2
a = 2 and b = 1
a = 1 and b = 4

Answers

Answer:

a = 3 and b = 2

Step-by-step explanation:

From completion of squares:

[tex] {x}^{2} - 6x + 7 = 0 \\ \{ {x}^{2} - 6x + { (\frac{6}{2} )}^{2} \} + 7 - {( \frac{6}{2}) }^{2} = 0 \\ ( {x}^{2} - 6x + {3}^{2} ) = 2 \\ { \boxed {{(x - 3)}^{2} = 2}}[/tex]

a is 3

b is 2

Answer:

Answer B : a = 3 and b = 2

Step-by-step explanation:

Give man above brainlyiest he deserives it

(x3)(x-5)
Fududeey
X=2

Answers

Answer:

-18 is the right answer..

Which of the h values are solutions to the following equation?
h^2=0.36
Choose all answers that apply:

A: h= square root of 0.6
B: h = square root of -0.6
C: h = 0.18
D:h = -0.18
E: None of the above

Answers

Answer:

a:h=square root of 0.6

Step-by-step explanation:

thank you for your time today

Answer:

none of the above

Step-by-step explanation:

KHAN

Is [tex]2 \frac{2}{3} [/tex]
a rational number​

Answers

Yes it’s a rational number.

I need to make n the subject

Answers

hope it's helpful

THANK YOU

Find the value of x 3(4x+3)

Answers

3(4x+3)=12x+9

i don't know what do you need,

if roots, let 12x+9=0

the root is x=-3/4


Solve for x.
(2x - 5°
(5x + 10)
B

Answers

i think the answer is x=25. if not then it’s x=-5

What is the arc length of arc cd in the circle below. The circle has a radius of 6ft and an angle measure of 30

Answers

9514 1404 393

Answer:

  π ft ≈ 3.14 ft

Step-by-step explanation:

The angle is 1/12 of the number of degrees in a circle, so the arc length will be 1/12 of the circumference of the circle.

 C = 2πr

 1/12C = 2/12π(6 ft) = π ft ≈ 3.14 ft

The arc length is about 3.14 feet.

Going into the final​ exam, which will count as two​ tests, has test scores of 77 , 82, 72 , 63 and 92 What score does need on the final in order to have an average score of​ 80?

Answers

Answer:

you either need to score a perfect on one exam and get a 80 on the second or get two 90s on both exams.

Step-by-step explanation:

Tom works at a car dealership selling cars. If he makes $4000 a month and $250 per car he sells, how much did he
make in July if he sold 12 cars? In August he made $6500, how many cars did he sell?

Answers

Answer:

Answer = he made 7,000 in July and sold 10 cars in august.

Step-by-step explanation:

Please help due tomorrow

Answers

the scale factor is 3. all of them are 3.

The scaled factor is 3 for all of them.

Jungwon has $15. Notepads cost $2.50 each. How many notepads can Jungwon buy?​

Answers

15 divided by 2.50 is 6
So Jungwon has $15 and each notepad costs $2.50. We need to find out how many notepads Jungwon can buy with $15. Simply take $15 and divide that by $2.50, you get 6. Jungwon can buy 6 notepads with $15.

Is 0.03456 a rational number​

Answers

Answer:

Yes. It is a rational number.

Can someone help me solve these 3 trig identity problems? I am stuck on these last 3... I will give brainliest!

(calculators are allowed)

Answers

Answer:

1. 1,246

2. 0,545

3. 0,9539

Step-by-step explanation:

semoga membantu :)

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