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antiseptic1488 [7]
3 years ago
13

Find the general solution for the differential equation (dy)/(dx) + 3y = 18 Y=

Mathematics
1 answer:
harkovskaia [24]3 years ago
5 0

Answer:

y=-e^{-3x-c_1}+6

Step-by-step explanation:

\frac{dy}{dx}+3y=18\\\\\mathrm{Substitute\quad }\frac{dy}{dx}\mathrm{\:with\:}y'\:\\\\y'\:+3y=18\\\\Rewrite\\\\\frac{1}{6-y}y'\:=3\\\\Solve \::\frac{1}{6-y}y'\:=3\\\\-In(6-y)=3x+c_1\\\\Isolate\:y\\\\\\y=-e^{-3x-c_1}+6

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Will give brainliest if correct.
Stolb23 [73]

Answer:

slope is 5, y intercept is -7

Step-by-step explanation:

In the form y=mx+c, m is the slope and c is the y-intercept.

Rearrange the formula to fit this form:

5x-y=7

-y=7-5x

y=5x-7

∴m(slope)=5

∴c(y-intercept)=-7

6 0
3 years ago
Given linear function, y = -2/3X + 5 <br> What is the slope?
Vikki [24]

Answer:

The slope is -\frac{2}{3}.

Step-by-step explanation:

The equation is conveniently in slope-intercept form.

y=mx+b

m - slope

b - y-intercept

-2/3 is in m's spot, so it is the slope of the equation.

y=\boxed{m}x+b\\\\y=\boxed{-\frac{2}{3}}x+5

Hope this helps.

7 0
4 years ago
Read 2 more answers
Lori is choosing a snack from a box containing 5 bags of pretzels , 4 bags of Trail Mix , and 9 bags of almonds .
Romashka-Z-Leto [24]
Im not sure what the question is asking but my guess would be c)18.
5 0
4 years ago
If i had 10 apples how many apples do i have?
Cerrena [4.2K]
I think 10 apples
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3 0
3 years ago
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Gina is buying bags of apples at the grocery store. Each bag of apples has five apples in it. Which equation shows the relations
Nadya [2.5K]

Answer:

y=5x

Step-by-step explanation:

Given no of bags is x

No of apples in each bag is 5

Thus no of apples in x bags can be obtained by multiplying no of bags(x in this case)   with No of apples in each bag  (5 in this case).

Total no of apples in x bag = 5*x = 5x

As y represent relationship between number of apples and bag. 5x will be equal to y.

it can be represented as y = 5x

Thus equation A y=5x   shows the relationship between the number of apples, y, and the number of bags, x

6 0
4 years ago
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