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2 years ago

Solve for y y/3=5 confused

Mathematics

2 answers:

grigory [225]2 years ago

7 0

Answer:

y = 15

Step-by-step explanation:

y/3 = 5

Multiply both sides by 3

y = 15

Sergio039 [100]2 years ago

4 0

Answer: y = 15

Step-by-step explanation: 5*3 = 15 All you have to do is reverse the equation. 15/3 = 5.

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2 years ago

How to solve 2x-y=17;x-y=10

Nataliya [291]

The answer is that y is equal to -3 and x is equal to 7
2x-y=17
-2(x-y)=10 )
--------------
2x-y=17
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----------------
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2 years ago

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

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2 years ago