The solution to the first-order differential equation y' = 2y^3/x^2 is y = ±√(x/(4 - 2C1x)), where C1 is the constant of integration.
To solve the first-order differential equation y' = 2y^3/x^2, we can separate the variables and integrate both sides.
Start by rearranging the equation to isolate the variables:
dy/y^3 = 2/x^2 dx
Now, we can integrate both sides:
∫(dy/y^3) = ∫(2/x^2) dx
Integrating the left side:
∫(dy/y^3) = ∫2/x^2 dx
-1/(2y^2) = -2/x + C1
Multiplying both sides by -1/2:
1/(2y^2) = 2/x - C1
To simplify, we can take the reciprocal of both sides:
2y^2 = 1/(2/x - C1)
2y^2 = x/(4 - 2C1x)
Now, solve for y:
y^2 = x/(4 - 2C1x)
y = ±√(x/(4 - 2C1x))
So, the solution to the first-order differential equation y' = 2y^3/x^2 is y = ±√(x/(4 - 2C1x)), where C1 is the constant of integration.
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HELP PLEASE!! WILL GIVE BRAINLIEST!!!
The slope is 5/7
Step-by-step explanation:
When you find slope you need to find both points and use the ordered pairs and subtract y1 - y2 and x2 - x1 and then you get your slope which is 5/7
sorry im bad at explaining
Choose the two number sentences that are true.
A. 5+7= 11+2
B. 3 + 3 = 20 - 9
C. 5+9 = 19 - 4
D. 12 +7 = 5 + 14
E18 - 6 = 15 - 1
Answer:
D
because 12+7=19
5+14=19
If you did not learn a different method for unit conversion in a previous class, respond to the following statement.
Explain how to use the unit-factor method to convert 120 pounds to kilograms.
Hint: 1 kilogram=2.2 pounds
To write the unit factors, use the / symbol, like this: 1 gallon/3.79 liters.
Answer:
120 pounds = 54.5 kilogram
Step-by-step explanation:
We know that,
1 kilogram=2.2 pounds
or
1 pound = (1/2.2) kilogram
We need to convert 120 pounds to kilograms.
[tex]120\ \text{pounds}=\dfrac{120}{2.2}\ \text{kilogram}\\\\=54.5 \text{kilogram}[/tex]
So, there are 54.5 kilograms in 120 pounds.
a tree is broken at a height of 6 cm from the ground and its top touches the ground at a distance of 8cm from the base of the tree . find the original height of the tree pls do to step to step explaination
Answer:
I guess its 16
Step-by-step explanation:
Because
Hieght =6cm
Base = 8cm
Hypotenuse=?
by pythagoras formula = a^2+b^2=c^2
6 *6 + 8*8 =c^2
36 + 64 = c^2
100 =c^2
Root of 100 is 10
so the whole tree is = to 10 +6 =16
if you can help me i’ll make brainliest
Answer:
help me
Step-by-step explanationok so
Answer:
pts
Step-by-step explanation:
Jada sister Earns a commission. She makes 3.5 of them out she sells. Last week she sold, 7000 Worth of furniture. How much was her commission?
Answer:
$245
Step-by-step explanation:
3.5% of 7000 = 0.035 × 7000 = 245
Which expressions are equivalent to 8(-10x+3.5y-7)? Select two options.
Answer:
[tex] - 8x + 120y - 56[/tex]
Step-by-step explanation:
evaluate the power calculate
[tex]8(1 x + 3 \times 5y - 7[/tex]
the coefficient of 1 doest have to be written but keep the sign
[tex]8( - 1x + 15y - 7[/tex]
remove the parentheses
The bag has 2 yellow cubes, 5 green cubes, and 3 red cubes. Without replacing the yellow cube, what is the probability of selecting a red cube at random?
Rizwan has 100 ruppees . He spent rs 25 in ice cream . Rs 45 on pizza, and the rest on other things . What percantage did he spend on other things .
Answer:percantage spent on other things = 30%
Step-by-step explanation:
Percentage spent on other things = Money spent on other things/ Total money x `100/ 1
Money spent on rest things = Total money - ( Money spent on ice cream + Money spent on pizza)
100 -(25+ 45)
100-70= Rs 30
Percentage spent on other things = Money spent on other things/ Total money x `100/ 1
= Rs 30/ Rs 100 x 100
0.3 x 100 = 30%
what is the answer to this problem if you need to find out the area?
Answer:
17.28in
Step-by-step explanation:
To find the area of a triangle, multiply the base by the perpendicular height (the length from the point opposite the base, to the base, which makes a 90-degree angle with the base), and half it:
7.2*4.8=34.56
34.56/2=17.28
Show that the line 3y = 7 + 5x is perpendicular to the line 5y = 4 - 3x.
Answer:
Proven Below
Step-by-step explanation:
If we rearrange these equations, we get that 3y = 5x + 7 and that 5y = -3x + 4. Next, to find what y equals on both equations, we divide by 3 on both sides of the first equation, where we would get that y = 5/3x + 7/3, and then divide by 5 on both sides of the second equation, where we would get that y = -3/5x + 4/5. Now, to see if two lines are perpendicular to each other, we have to see if the slopes (The number being multiplied by x. Ex.) In the equation y = 3/4x + 4, the slope is 3/4) are opposite reciprocals (If you multiply them and they are equal to -1. Ex.) 3/4 * -4/3 is equal to -1, so they are opposite reciprocals). In this case, we have -3/5 and 5/3 as slopes, and -3/5 * 5/3 is equal to -1, so they are perpendicular.
Answer:
The slope of the first line is 5/3
The slope for the second one is -3/5
If you multiply the 2 slope you have to end up with - 1
So 5/3*(-3/5)=-15/15 which is - 1
So yes the lines are perpenducular
Help meh ill mark 1 and 1/2 +2/5 PLZZZZZZZZZZZZZZZZ
Answer:
1 9/10
Step-by-step explanation:
Can you help me please
Answer:
D?
Step-by-step explanation:
if i got it wrong im truly sorry
Enter the value of n so that the expression (3y + 1) + (2y + 8) is equivalent to (ny + 9).
Answer:
Step-by-step explanation:
3y+1+2y+8=ny+9
5y+9=ny+9
5y=ny
n=5
Given the following data set: 111, 122, 133, 149, 126, 117, 101, 121
Find the values of the upper and lower quartiles.
Answer:
the upper is 149
and the lower is 101
Step-by-step explanation:
sana makatulong
-30=5(x+1) x=?
please help
Answer:
x = -7
-30 = 5(x + 1)
5(x + 1) = -30
5(x + 1)/5 = -30/5
x + 1 = -6
x + 1 - 1 = -6 -1
x = -7
If f(x) = x2, and
g(x) = x - 1, then
f(g(x)) = ?
Answer:
f(g(x))=1x^2 +-2x+1
Step-by-step explanation:
your inputs should be
1
-2
1
If f(x) = [tex]x^{2}[/tex], g(x) = [tex]x -1[/tex] then f(g(x)) = [tex]1x^{2} -2x+1[/tex].
What is a function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given
f(x) = [tex]x^{2}[/tex]
g(x) = [tex]x -1[/tex]
f(g(x)) = [tex](x-1)^{2}[/tex]
It is in the form of [tex](a-b)^{2}=a^{2} -2(a)(b) +b^{2}[/tex]
= [tex]x^{2} -2(x)(1) +1^{2}[/tex]
= [tex]x^{2} -2x+1[/tex]
f(g(x)) = [tex]1x^{2} -2x+1[/tex]
Hence, If f(x) = [tex]x^{2}[/tex], g(x) = [tex]x -1[/tex] then f(g(x)) = [tex]1x^{2} -2x+1[/tex].
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Assume that the lines are parallel.
Answer:
left ?= 110
right?= 70
Step-by-step explanation:
You purchased a car for $56,843. After
one year, the car is worth $51,474. How
much is the car worth in 4 years?
Answer:
$35,367
Step-by-step explanation:
A batch of 26 television sets are being checked by two supervisors. Both start from the same end. One supervisor checks every
2nd set and puts a blue mark on it. Another supervisor checks every 3rd set and puts a green mark on it. How many television
sets will have BOTH a blue and a green mark on them
Answer:
4
Step-by-step explanation:
Total number of television sets = 26
With the condition given that; every 2nd set had blue mark on it, and every 3rd set had green mark on it.
The number of only blue marked set is 8, while the number of only green marked set is 4.
So that, the number of television sets with both blue and green mark on them is 4.
X and Y
-5x+5y=-25
3x+2y=10
the X and Y is (4,-1) i need to know how to get the answer
Step-by-step explanation:
just substitute X and Y by their numerical values.
a) -5(4)+5(-1)=-25
-20-5= -25
-25= -25. true
b) 3(4)+2(-1) = 10
12 -2 =10
10=10. true
B. 13 (x - 10) = -4
Answer: x =
Its a neg #
can someone tell the answers?
Answer:
IT B
Step-by-step explanation:
BECAUSE IT B
Answer:
A. B and D
Step-by-step explanation:
A because: X can be the minutes she goes over
B because: X can be the customers coming in for breakfast
D because: X can be every ticket
it can't be C because you would take away the eggs not add
a line passes through the points (4,23) and (8,27). write a linear funtion rule in terms of x and y for this line
Answer:
Step-by-step explanation:
(27 - 23)/(8 - 4)= 4/4= 1
y - 23 = x - 4
y = x + 19
Please help will give brainliest!
Answer:
Should be 1 if im not wrong Then Mark Me brainliest
Step-by-step explanation:
a negative times a neg equals a posative
Neg x pos = neg
pos x neg = neg
pos x pos = pos
neg x neg = pos
so if there greater then over neg<, >,=
You would look at the problem for given f(x)=
x → -1 and neg times neg more or less
-1 x -1 = 1
porfis ayúdenme es para hoy
Answers:
1. V=triangle area × length
V=1/2×8×12×20
V=960in³
2. triangle area × length
Area of the triangle=1/2×4×11
A=22ft²
V=22×6
V=132ft³
3. b, volume always have cubic power (³)
4. d, same reason of question 3
why is it so hard like math in general is hard has been for years
Answer:
Tell me about it..
Step-by-step explanation:
Step-by-step
explanation:
math is hard because is hard
An airplane on autopilot took 9 hours to travel 6,471 kilometers. What is the unit rate for kilometers per hour?
Answer:
719 kilometers
Step-by-step explanation:
6,471/9 = 719
that's the unit rate
Answer:
719
Step-by-step explanation:
6,471/9=719
719*9=6,471
which means the correct answer is 719
YW!!
AYO HELP A MAN OUT PLEASE
Answer:
I think it's A I'm not sure tho
Step-by-step explanation:
the answer is A and I think C I don't know though ur welcome!:)
At Franklis Incorporated, during the month of January, the direct labor rate variance was $3,000 unfavorable, and the direct labor efficiency variance was $5,000 favorable. Actual direct labor costs during January were $100,000. What was the standard direct labor applied to production at Franklis during the month of January?
Answer:
50
Step-by-step explanation:
Direct labour rate variance is $3,000
Direct labour efficiency variance is $5,000
Actual direct labour costs is $100,000
Therefore the standard direct labour production during the month of January can be calculated as follows
= 100,000/5,000-3,000
= 100,000/2,000
= 50