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3 years ago

Two less than the product of a number and three

Mathematics

1 answer:

Brut [27]3 years ago

6 0

Answer: 3n - 2

Step-by-step explanation:

If two is less than the product of a number and threes then we will represent that number by n and 3 times it is 3n the 2 will be subtracted from it because 2 has to be less than it.

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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

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lora16 [44]

Answer:

False, A equation DOES have to have a equal sign.

Step-by-step explanation:

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Jim buys two boxes of apples. 90% of the total apples are ripe.

Sedaia [141]

Jim buys 2*15=30 apples
To get the answer we have to find 90% of 30
90% = 0.9
0.9*15=27
Now we can subtract 30-27=3 - its the answer

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Answer:

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Step-by-step explanation:

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netineya [11]

Answer: i don't know you have to figure it out yourself duh.

Step-by-step explanation: This is none of your beeswax

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2 years ago

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