The solution to the differential equation will be expressed as [tex]y_c=Ce^{2x}[/tex]
Given the differential equation;
[tex]\frac{d^2y}{dx^2}+2y \frac{dy}{dx} =0[/tex]
Since the right-hand side of the homogenous equation is zero, the differential equation is a homogenous equation
Let [tex]D=\frac{dy}{dx}[/tex]
The differential equation becomes;
[tex]D^2y-2Dy=0\\(D^2-2D)y=0[/tex]
Factorizing the auxiliary equation m² - 2m = 0
m² = 2m
m = 2
Since the auxiliary solution is real and distinct, the solution to the differential equation will be expressed as [tex]y_c=C_1e^{m_1x} + C_1e^{m_2x} \\[/tex]
Given that m =2, the solution will be expressed as [tex]y_c=Ce^{2x}[/tex]
b) Most linear differential equations have a constant coefficient because they are mostly solved using the quadratic method which is also called the method of quadrature. This means that the solution maybe expressed in integral form.
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The points (9,21) and (21,49) form a proportional relationship. Find the slope in fraction form or simplest form. Then use the slope to graph the line.
Answer:
I think it's -28/-12
Step-by-step explanation:
y-y/x-x
Due Tomorrow: Answer question 18 using steps
[tex]\\ \sf\longmapsto tan51=\dfrac{BC}{AB}[/tex]
[tex]\\ \sf\longmapsto 1.23=\dfrac{9}{AB}[/tex]
[tex]\\ \sf\longmapsto AB=\dfrac{9}{1.23}[/tex]
[tex]\\ \sf\longmapsto AB=7.3\approx 7in[/tex]
Now
[tex]\\ \sf\longmapsto AC^2=7^2+9^2[/tex]
[tex]\\ \sf\longmapsto AC^2=49+81[/tex]
[tex]\\ \sf\longmapsto AC^2=130[/tex]
[tex]\\ \sf\longmapsto AC^2\approx 11in[/tex]
-4/15x =1.44 Enter your answer as a mixed number in simplest form.
Answer:
[tex]\frac{ - 4}{15x} = 1.44 \\ - 4 = 15x \times 1.44 \\ 15x = \frac{1.44}{ - 4} \\ 15x = \frac{144}{ - 4 \times 100} \\ 15x = 0.36 \\ x = \frac{36}{100 \times 15 } \\ x = 0.024[/tex]
Answer:
-5 2/5
Step-by-step explanation:
i took the test from k12
Which is an x-intercept of the graph of the
Answer:
(5π/8, 0)
Step-by-step explanation:
x intercept occurs when y = 0
0 = tan(x - 5π/8)
as tan0 = 0
x - 5π/8 = 0
x = 5π/8
Solve for x. Round to the nearest tenth.
Answer:
24.8
Step-by-step explanation:
1.
Identify the point corresponding to P.
A. P′ (−3, −1)
B. P′ (−4, 0)
C. P′ (−5, −3)
D. P′ (−2, 0)
Answer:
B. P′ (−4, 0)
Step-by-step explanation:
You can look at the graph. The X-axis always goes first. SO -4 is first because it's on the x-axis. ANSWER= (-4, 0)
I need help I been here all day trying to solve this I'm good I reading not math
32,760 is the answer!!
answerrrrrrrrrrrr plssssssssssssssssssssssssssssssss
A woman can bicycle 78 miles in the same time as it takes her to walk 24 miles. She can ride 9 mph faster
than she can walk. How fast can she walk?
mph
Answer:
4mph
Step-by-step explanation:
A group fitness gym classifies its fitness class attendees by class type and member status. The marketing team has gathered data from a random month, in which there were 2333 class attendees. The data is summarized in the table below. Class Type and Member Status of Class Attendees Class Type Member Non-Member Barre 157 232 Boot Camp 259 258 Boxing 282 215 Spinning 161 235 Yoga 271 263
The likelihood that a class attendee is a non-member of the gym taking a barre class or a member of the gym taking a boot camp class is 0.009.
What is the probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
The marketing team has gathered data from a random month, in which there were 2039 class attendees.
The probability that a class attendee is a non-member of the gym and is attending a barre class
= 185/2039
= 0.09
The probability that a class attendee is a member of the gym and is attending a boot camp class
= 204/2039
= 0.10004
The probability for both the event would be
= 0.09 x 0.10004
= 0.009
The complete question is attached with the answer below.
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Plane B is flying 55mph
55
mph
faster than Plane A and can fly 4275
4275
miles in the same amount of time it takes Plane A to fly 4000
4000
miles. Find the amount of time it takes for each plane to travel their respective distances.
Answer:
It takes around 5s for each plane to travel their respective distances.
Step-by-step explanation:
HEY IF YOURE SEEING THIS IM IN DIRE NEED OF YOU SOLVING NUMBER 4!!
Answer:
(1, -3) (2, -1) (3, 1)
Step-by-step explanation:
if seconds=x and degrees celsius=y, the points are (1, -3) (2, -1) (3, 1). to graph, plot the points on a graph. (ordered pairs are written as x,y)
which function is represented by the graph?
Answer:
[tex]y=-\sqrt{x+2}-1[/tex]
Step-by-step explanation:
Hi there!
Please take a look at the attached image. This is the parent function of the radical function.
[tex]y=\sqrt{x}[/tex]
This equation represents the transformations of the parent function:
[tex]y=a\sqrt{b(x-h)}+k[/tex]
a dictates vertical stretch.
b dictates horizontal stretch.
h dictates horizontal translation.
k dictates vertical translation.
If we take a look at the given graph, we can tell that the following transformations have been applied:
- reflection across x-axis (a = -1)
- translation 2 units to the left (h = -2)
- translation 1 unit down (k = -1)
Therefore, the function that represents the graph is:
[tex]y=-\sqrt{x+2}-1[/tex]
I hope this helps!
BRAINLIEST!!!!!!!!!!!!!
What is the value of tan A?
○ 6/8
○ 8/6
○ 6/10
Does anyone know this?
Answer:
i think c or b I D K
Step-by-step explanation:
Two of the angles in a triangle measure 58 degrees and 25 degrees. What must be the measure of the third angle?
97 degrees
add up the two and subtract by 180
g Find the average value of the sum of the squares of three numbers x, y, z, where each number is between 0 and 2
answer:
1
Step-by-step explanation:
#'s between zero and two = one
the only number between 0 and two is 1
x = 1 y = 1 z = 1
the average value of the sum of the squares of x, y and z = 1
1, 1, 1
the average is 1
Cómo se mide la velocidad
Answer:
d wound be the only answer I think
a car travels at 56 km per hour find the time it takes to travel 300 metres give your answer in seconds correct to the nearest second
1km = 1000 m , thus 56km = 56000 m
1hr = 60 mins
1min = 60 secs, therefore 60 mins = 60*60 seconds = 3600 seconds = 1hr
so then, we know the car travels 56000 meters in 3600 secs, how many seconds will that be for 300 meters?
[tex]\begin{array}{ccll} meters&seconds\\ \cline{1-2} 56000&3600\\ 300&x \end{array}\implies \cfrac{56000}{300}=\cfrac{3600}{x}\implies \cfrac{560}{3}=\cfrac{3600}{x} \implies 560x=10800 \\\\\\ x = \cfrac{10800}{560}\implies x = \cfrac{135}{7}\implies x \approx 19.286\implies \stackrel{\textit{rounded up}}{x = 19}[/tex]
Find all the square roots of 36
Hey there!
√36
= √6^2
= 6
Therefore, your answer should be: 6
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Step-by-step explanation:
[tex] \sqrt{36} = ...[/tex]
[tex] = {36}^{ \frac{1}{2} } = (6 {}^{2} ) {}^{ \frac{1}{2} } [/tex]
= 6
If 2 sides of a triangle is 12 cm and perimeter is it 28cm prove it is a isosceles triangle
If 2 sides of a triangle is 12 cm and perimeter is it 28cm prove it is a isosceles triangle
Answer:
if it has two equal sides the triangle is isosceles by definition
Definition of
Isosceles Triangle
A triangle with two equal sides.
The angles opposite the equal sides are also equal.
What is the minimum unit cost of C(x)=0.7^2-210x+27,464?
13. For a weekly car rental, a car-rental company charges customers a flat fee of $100 plus
10 cents for every mile traveled.
15 Write an equation for the amount, A dollars, of a weekly rental for a car that travels
m miles.
16
Create a table of m and A values using the equation from part a for 150, 200, and
250 miles.
Answer:
a) y = 0.10(16) + 100
y = $ 101.60
b) y = 0.10(150) + 100
y = $115
c) y = 0.10(200) + 100
y = $120
d) y = 0.10(250) + 100
y = $125
Step-by-step explanation:
Use the clues and each of the numbers on the sign to complete the grid.
Clues
. All four numbers in a row must have a common factor greater than 1.
. Pairs of numbers in a column must have a common factor greater than 1.
Answer:
prayers lang po katapat nyan
Select the answer that describes the properties of a parallelogram.
Answer:
A is the correct answer because all sides are congurent
A parallelogram has two pairs of parallel sides.
opposite sides and opposite angles are congruent.
Option D is the correct answer.
We have,
Parallelograms have several notable properties:
Opposite sides are parallel:
In a parallelogram, opposite sides are parallel, meaning they never intersect and have the same slope.
Opposite sides are congruent:
The opposite sides of a parallelogram have equal lengths. This property applies to both pairs of opposite sides.
Opposite angles are congruent:
The opposite angles of a parallelogram have equal measures. This property applies to both pairs of opposite angles.
- Consecutive angles are supplementary.
- Diagonals bisect each other.
- Diagonals create congruent opposite triangles.
- Diagonals create equal opposite angles.
Thus,
A parallelogram has two pairs of parallel sides.
opposite sides and opposite angles are congruent.
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Does anybody know the slope for these graphs?
Solve three fourths times two thirds help meeeeeee
Answer:
1/2
Step-by-step explanation:
Select the values that make the inequality u≥ -7 true.
Answer:
Well u could be -7 or anything higher than that.
what is improper fraction
help me please
Answer:
a fraction in which the numerator is greater than the denominator, such as 5/4.
Step-by-step explanation:
A fraction consists of a Numerator and a Denominator. The numerator tells how many parts out of all are there. The denominator tells how many total parts are there. A fraction in which the numerator is greater than the denominator is called an improper fraction.
Hope it helps!
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Find the measure of
Answer:
64
Step-by-step explanation:
360-115-129=116 (the sum of exterior angles of triangle is 360)
180-116=64