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zepelin [54]
3 years ago
12

Nolur cözebilirmisiniz​

Mathematics
1 answer:
bearhunter [10]3 years ago
3 0

Answer:

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is c60

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Given the Homogeneous equation x^2ydy+xy^2dx=0, use y=ux, u=y/x and dy=udx+xdu to solve the differential equation. Solve for y.
scZoUnD [109]

Answer:

y=\frac{C}{x}.

Step-by-step explanation:

Given homogeneous equation

x^2ydy+xy^2dx=0

\frac{\mathrm{d}y}{\mathrm{d}x}=-\frac{xy^2}{x^2y}

Substitute y=ux , u=\frac{y}{x}

\frac{\mathrm{d}y}{\mathrm{d}x}=-\frac{y}{x}

Now,

u+x\frac{\mathrm{d}u}{\mathrm{d}x}=\frac{\mathrm{d}y}{\mathrm{d}x}

u+x\frac{\mathrm{d}u}{\mathrm{d}x}=-u

\frac{\mathrm{d}u}{\mathrm{d}x}=-2u

\frac{du}{u}=-\frac{dx}{x}

Integrating both side we get

lnu=-2lnx+lnC

Where lnC= integration constant

lnu+ln{x}^2=lnC

lnux^2=lnC

Cancel ln on both side

ux^2=C

Substitute u=\frac{y}{x}

Then we get

xy=C

y=\frac{C}{x}.

Answer:y=\frac{C}{x}.

8 0
3 years ago
How do i solve x squared = 4x -5
ICE Princess25 [194]

Answer:

x = 2 ±i

Step-by-step explanation:

x^2 = 4x-5

Subtract 4x from each side

x^2 - 4x = 4x-5 -4x

x^2 - 4x= -5

Complete the square

Take the coefficient of the x term, divide by 2 and square it

-4/2 =2   2^2 =4

Add 4 to each side

x^2 -4x+4 = -5 +4

The left side is (x-coefficient of the x term/2)^2

(x-2)^2 = -1

Take the square root of each side

sqrt((x-2)^2) = sqrt(-1)

x-2 = ±i

Add 2 to each side

x-2+2 = 2 ±i

x = 2 ±i

6 0
3 years ago
Watch help video
Anastaziya [24]
Where is the video 57247
6 0
3 years ago
As a salesperson, you are paid $50 per week plus $2 per sale. This week you
deff fn [24]

Answer:25 sales

Step-by-step explanation:

$100 is how much you want to make.

you automatically make $50

100-50=50

if you make $2 per sale then you make the equation 50/2=?

this will give you 25 Sales

5 0
4 years ago
Read 2 more answers
Which of the following are most likely to lead to a narrow confidence interval? Homework Help: 5DD. Changes in confidence interv
Andrews [41]

Answer:

C

Step-by-step explanation:

8 0
3 years ago
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