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Dmitrij [34]
2 years ago
13

1) Find the general solution to the following differential equation x^3•y’- y = 0

Mathematics
1 answer:
maxonik [38]2 years ago
6 0

Answer:

y(x) = c_1 e^(-1/(2 x^2))

Step-by-step explanation:

Solve the separable equation x^3 (dy(x))/(dx) - y(x) = 0:

Solve for (dy(x))/(dx):

(dy(x))/(dx) = y(x)/x^3

Divide both sides by y(x):

((dy(x))/(dx))/y(x) = 1/x^3

Integrate both sides with respect to x:

integral((dy(x))/(dx))/y(x) dx = integral1/x^3 dx

Evaluate the integrals:

log(y(x)) = -1/(2 x^2) + c_1, where c_1 is an arbitrary constant.

Solve for y(x):

y(x) = e^(-1/(2 x^2) + c_1)

Simplify the arbitrary constants:

Answer:  y(x) = c_1 e^(-1/(2 x^2))

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andre [41]
69 because that’s good and she was like u smell like fart
3 0
3 years ago
B. What number is equal to 280 tenths + 19 thousandths?<br><br> HELP!!
Kaylis [27]

The number that equals 280 tenths + 19 thousandths is 28.019

<h3>How to determine the number?</h3>

The statement is given as:

280 tenths + 19 thousandths

Rewrite the terms of the expression as fractions

So, we have

280/10 + 19/1000

Evaluate the quotients

28.0 + 0.019

Add both numbers

28.019

Hence, the number that equals 280 tenths + 19 thousandths is 28.019

Read more about expressions at:

brainly.com/question/723406

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3 0
1 year ago
What are the Factors of 32 and 72?
Alexus [3.1K]

Answer:

The factors of 32 are 32, 16, 8, 4, 2, 1. The factors of 72 are 72, 36, 24, 18, 12, 9, 8, 6, 4, 3, 2, 1. The common factors of 32 and 72 are 8, 4, 2, 1, intersecting the two sets above.

plz mark brainliest :DD

4 0
3 years ago
Read 2 more answers
1. The variable y varies inversely with x and y = 6 when x = 3.
Y_Kistochka [10]
Inverse variation means y=k/x, we are given (3,6) so

6=k/3

k=18 so

y=18/x

y=18/27

y=2/3
7 0
3 years ago
A raindrop falls at 200m per minute. how long will it take a raindrop to travel 6000m?
Kryger [21]
The first thing you should know is that by definition:
 d = v * t
 Where
 d: distance
 v: speed
 t: time
 We then have to clear the time:
 t = (d) / (v)
 Substituting the values:
 t = (6000) / (200)
 t = 30 minutes
 Answer: 
 It will take a raindrop to travel 6000m about: 
 t = 30 minutes
5 0
3 years ago
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