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EastWind [94]
3 years ago
6

Solve the differential equation by separation of variables x(dy/dx)=4y

Mathematics
1 answer:
weeeeeb [17]3 years ago
3 0
<span>get all your x one on side and y on the opposing side so we have
xdy=4ydx
dy/y=4dx/x
</span><span>integrate both sides
</span><span>lny=4lnx+C
</span><span> y=e^(4lnx+C)
</span><span>The answer is y=cx^4 </span>

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hichkok12 [17]
The answer is 7,323 al you have to do is pay atention
7 0
3 years ago
Read 2 more answers
Write an equation.
schepotkina [342]

Given:

y is proportional to x.

y=10 and x=8.

To find:

The constant of proportionality and the equation for the proportional relationship.

Solution:

y is proportional to x.

y\propto x

y=kx               ...(i)

Where, k is the constant of proportionality.

Putting y=10 and x=8, we get

10=k(8)

\dfrac{10}{8}=k

\dfrac{5}{4}=k

Putting k=\dfrac{5}{4} in (i), we get

y=\dfrac{5}{4}x

Therefore, the contestant of proportionality is k=\dfrac{5}{4} and the equation for the proportional relationship is  y=\dfrac{5}{4}x.

5 0
3 years ago
What is the ratio for each one?
blagie [28]
This is complicated because I’m typing on a phone, but
24:30 simplified is 4:5
30:54 simplified is 5:9

10:5 simplified is 2:1
5:15 simplified is 1:3

32:72 simplified is 4:9
72:104 simplified is 9:13

56:7 simplified is 8:1
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8 0
3 years ago
Elsa and Anna share $2000 in the ratio 5 : 3. How much does each of them get?
Karolina [17]

Answer:

Let them be "x"

5x+3x= $2000

8x= $2000

x= 2000/8

x= 250

5* 250= 1250.

3*250= 750.

5 0
3 years ago
How are unit rates and equevlent ratios related
Yakvenalex [24]

Answer: Unit rates are the factor that takes you from one column to the other column in a table of equivalent ratios. Equivalent ratios have the same unit rates.

Hope this helps!

4 0
2 years ago
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