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Katarina [22]
3 years ago
13

Find the general solution of the differential equation. (Use C for any needed constant.) dy dx = 1 − y

Mathematics
1 answer:
daser333 [38]3 years ago
4 0

Answer:

Step-by-step explanation:

Give the DE

dy/dx = 1-y

Using variable separable method

dy = (1-y)dx

dx = dy/(1-y)

Integrate both sides

 ∫dx =  ∫dy/(1-y)

 ∫dy/(1-y)=  ∫dx

-ln(1-y) = x+C

ln(1-y)^-1 = x+C

Apply e to both sides

e^ln(1-y)^-1 = e^,(x+C)

(1-y)^-1 = Ce^x

1/(1-y) = Ce^x

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5 0
3 years ago
Shania had $20 to spend on seven raffle tickets. After buying them she had $6. How much did each raffle ticket cost?
kogti [31]

Answer:

$2

Step-by-step explanation:

Total money Shania was having = $20.

After buying raffle tickets she was having a total of $6.

Thus ,

The money she spent on the raffle tickets = Money she was having initially -

                                                                         Money she was having after

                                                                         purchasing tickets .

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                                                                 = $14.

Thus She spent a total of $14 on tickets .

Now , number of tickets she bought = 7.

So, cost of each ticket = \frac{Money spent}{Number of tickets} = \frac{14}{7}

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Thus , each ticket costs $2 for Shania.

7 0
3 years ago
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Answer:

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I hope this helps and please don't hesitate to ask if there is anything still unclear!

7 0
3 years ago
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cestrela7 [59]

Answer:

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8 0
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