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liq [111]
3 years ago
12

Will Give Brainliest

Mathematics
1 answer:
kolezko [41]3 years ago
3 0

Answer:

x = 19

Step-by-step explanation:

3x - 3 = 6(x - 10)

3x - 3 = 6x - 60 Use dist property

Subtract 3x from both sides

-3 = 3x - 60

Add 60 to both sides

57 = 3x

Divide both sides by 3

19 = x

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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
Idk how to solve these questions
Anuta_ua [19.1K]
Of means multiply

3/5 *n=30

3/5 5/3 cancels than you do 30 *5/3 =50

The answer is 50 you can check your answer by doing 3/5 *50=150/5 or 30 so it's correct .
5 0
3 years ago
Read 2 more answers
Marty drinks 2 cups of water each day. Katie drinks 14 times as much as Marty. How many fluid ounces of water do they drink all
Katena32 [7]
224 ounces.?
Gajhfiambzoandhiam
6 0
3 years ago
Hurryyyy plzzz answer
Neporo4naja [7]

Answer:

the answer is 14 ounces of sugar

3 0
3 years ago
Read 2 more answers
The product of 2/5a²x and -1/5x²a is?
Natasha2012 [34]
So you first multiply the fractions: 2/5 times -1/5 = -2/25; then the a's: a^2 times a equals a^3; then multiply the x's: x times x^2 equals x^3.
The answer would be -2/25a^3x^3
7 0
3 years ago
Read 2 more answers
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