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3 years ago

Please help me! it’s for a tesz

Mathematics

1 answer:

Ronch [10]3 years ago

4 0

Answer:

can you help me

Step-by-step explanation:

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Solve the equation using the substitution u = y/x. When u = y/x is substituted into the equation, the equation becomes separable

bekas [8.4K]

Answer:

$\frac{u^2+3}{-u^3+u^2-2u}u'=\frac{1}{x}$

Step-by-step explanation:

First step: I'm going to solve our substitution for y:

$u=\frac{y}{x}$

Multiply both sides by x:

$ux=y$

Second step: Differentiate the substitution:

$u'x+u=y'$

Third step: Plug in first and second step into the given equation dy/dx=f(x,y):

$u'x+u=\frac{x(ux)+(ux)^2}{3x^2+(ux)^2}$

$u'x+u=\frac{ux^2+u^2x^2}{3x^2+u^2x^2}$

We are going to simplify what we can.

Every term in the fraction on the right hand side of equation contains a factor of $x^2$ so I'm going to divide top and bottom by $x^2$ :

$u'x+u=\frac{u+u^2}{3+u^2}$

Now I have no idea what your left hand side is suppose to look like but I'm going to keep going here:

Subtract u on both sides:

$u'x=\frac{u+u^2}{3+u^2}-u$

Find a common denominator: Multiply second term on right hand side by $\frac{3+u^2}{3+u^2}$ :

$u'x=\frac{u+u^2}{3+u^2}-\frac{u(3+u^2)}{3+u^2}$

Combine fractions while also distributing u to terms in ( ):

$u'x=\frac{u+u^2-3u-u^3}{3+u^2}$

$u'x=\frac{-u^3+u^2-2u}{3+u^2}$

Third step: I'm going to separate the variables:

Multiply both sides by the reciprocal of the right hand side fraction.

$u' \frac{3+u^2}{-u^3+u^2-2u}x=1$

Divide both sides by x:

$\frac{3+u^2}{-u^3+u^2-2u}u'=\frac{1}{x}$

Reorder the top a little of left hand side using the commutative property for addition:

$\frac{u^2+3}{-u^3+u^2-2u}u'=\frac{1}{x}$

The expression on left hand side almost matches your expression but not quite so something seems a little off.

5 0

3 years ago

1. Find the slope of the line (2,3) and (0,7)

aalyn [17]

Answer:

hope these helps you

Step-by-step explanation:

1. (2,3)&(0,7)

7-3/0-2

4/-2

=-2

2. (0,2)&(5,1)

1-2/5-0

=-1/5

3. (0,0)&(8,1)

1-0/8-0

=1/8

4.(0,2)&(6,4)

4-2/6-0

2/6

= 1/3

5.(0,1)&(4,2)

2-1/4-0

=1/4

6. (-1,6)&(4,2)

2-6/4-(-1)

=-4/5

5 0

3 years ago

Write an algebraic expression for the verbal expression. the product of 13 and x

Igoryamba

Answer:

13x

Step-by-step explanation:

The product of 13 and x would be 13*x or just simply 13x.

6 0

3 years ago

Which one is greater 20 ounces or 20 grams

expeople1 [14]

Answer:

20 ounces

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

What is the area of the following figure?

klasskru [66]

Answer:

18.3

Step-by-step explanation:

$4 \times 3 = 12$

$[tex]π[tex]πr[tex]πr2[tex]πr2 = 12.57$

$12.57 \div 2 = 6.3$

$12 + 6.3 = 18.3$

8 0

3 years ago