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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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The awnser is 2/3 or 66.66%

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2 years ago
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A single die is rolled one time. Find the probability of rolling a number greater than 4 or less than 3.
Vika [28.1K]

<u>Answer: </u>

The probability of rolling a number greater than 4 or less than 3 is \frac{2}{3}

<u>Solution: </u>

In the given question there are two events as follows:

(a) Rolling a number greater than 4 i.e. A = {5,6}

(b) Rolling a number less than 3 i.e. B = {1,2}

Since a die has 6 numbers,

 P(A) = \frac{2}{6} where P(A) is the probability of occurrence of event A and P(B) = \frac{2}{6}

Since, Event A and Event B has nothing in common therefore they are mutually exclusive events.

P(A∪B) = P(A) + P(B)

=\frac{2}{6}+\frac{2}{6}

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7 0
3 years ago
What is 2,453 + 61.18
kolbaska11 [484]

Answer:

63,633

Step-by-step explanation:

2,453 + 61,18

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3 years ago
Simplify.<br> x2 + 2x - 15<br> x².3x
yaroslaw [1]
Use photo math it helps
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What is the solution of the system of equations shown in the graph?
Rudiy27

Answer:

The solution of the system of equations shown in the graph is (2,0)

Step-by-step explanation:

It's easy

You just look for the point of intersections the lines make.

The point is on the number 2  on the x axis, and number 0 on the y axis. Therefore its (2,0).

Happy to help!

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