Determine whether the given relation is an implicit solution to the given differential equation. Assume that the relationship does define y implicitly as a function of x and use implicit differentiation.

y- lny= x^2+1 , dy/dx= 2xy/y-1

Answers

Answer 1

Answer:

See explanation below

Step-by-step explanation:

Given the expression

y- lny= x^2+1

Differentiate implicitly with respect to x

dy/dx - 1/y dy/dx = 2x+0

Factor out dy/dx

dy/dx (1 - 1/y) = 2x

dy/dx (y-1/y) =2x

Cross multiply

dy/dx (y-1) = 2xy

Divide both sides by y-1

dy/dx (y-1)/y-1 = 2xy/y-1

dy/dx = 2xy/y-1

Hence the given relation is an implicit solution to the given differential equation


Related Questions

True or False. You have to convert a percent to a decimal when using it in the equation.

Answers

the answer would be true

Samantha spent 1/6 of her money on candy and 3/4 of her money on a movie ticket. What fraction of Samantha's money has been spent?

Answers

Answer:

11/12

Step-by-step explanation:

7. Match each expression in the left column with an equivalent expression in the right
column.
1. (n - 36).4
2. 4n + -9
A. n+n+n+n
B. 4n - 36
C. n(9-4)
D. 4(n - 36)
E. 4n - 9
3. 4n
4. 9n - 4n
5. 4(n - 9)
(number with a letter)

Answers

Answer: that’s the question

Step-by-step explanation:

Answer:

2n+2

_____

9 2n

Exp:

I work as a math teacher

PLZ HELP
In which of the following intervals does the trigonometric inequality sec(x)

Answers

Answer:

(cot)x always hold

Step-by-step explanation:

whats the length in the picture

Answers

Answer:

3.1in

hope it helps

PLEASE ANSWER ASAP!!!!!!!!!!!!
what is 4(3-6x)=?

Answers

-24x + 12

i am pretty sure that is it, but i am not good at these stuff. Sry if it's wrong.

The answer is -24X hope this helps!

Marco buys shampoo from a supplier at $7.25 per bottle.
He marksup the shampoo 20%.
What is the price after markup?

Answers

Answer:

7.45

Step-by-step explanation:

dont ask me to explain cuz I wont have a nice day

Answer:

The answer is $1.25

Step-by-step explanation:

hope this helped

please help if u can ty!!!

Answers

Answer:

38.465

Step-by-step explanation:

You use your t table (Formula is pie × Radius × Radius) so its 3.14 × 3.5 × 3.5

Circumstance of circle = 2 • pi • r

= 2 • 3.14 • 3.5

= 6.28 • 3.5

= 21.98 m

Therefore circumference of circle equals 21.98 m

in the year 2013 the population of California was about 38,332,521 people write the estimated population of a single digit times a power of 10. ​

Answers

Geography? I have no idea

Two snow resorts offer private lessons to their customers. Big time ski mountain charges $5 per hour plus $50 insurance. Powder hill charges $10 per hour plus $30 insurance. For what number of hours is the cost of the lessons the same for each resort?

Answers

Answer:

4 hours

Step-by-step explanation

4 times 5+20

50+20+70

10 times 4 +40

30+40+70

Each diagram is made of smaller, identical pieces. Tell how many pieces you would shade to model 25%

Answers

Answer:

12 pieces

Step-by-step explanation:

There are 6 candidates running in a race for a public office. The candidates will give speeches one at a time at an event. How many different orders are there in which the candidates speeches can be delivered?

Answers

36 6(people) •6(slots they can go) = 36 different orders

Differentiate f(x) = (2x + 5)^6 with respect to x

Answers

Step-by-step explanation:

d/dx [f(x)]

= d/dx [(2x + 5)⁶]

= 6(2x + 5)⁵ * d/dx (2x + 5)

= 12(2x + 5)⁵.

c)
How many quarters make a whole?
d) How many fifths make a whole?
e) How many tenths make a whole?
nta Excel in Mathematics - Book 3
108​

Answers

Answer:

4 quarters

10 tenths

Step-by-step explanation:

Tenths

[tex] \frac{1}{10} [/tex]

Quarter

[tex] \frac{1}{4} [/tex]

Whole

[tex] 1 [/tex]

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

[tex] 1 = \frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4} [/tex]

∴ There are 4 quarters to make a whole

[tex] 1 = \frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10} [/tex]

∴ There are 10 tenths to make a whole

PLZ PLZ PLZ HELPPP! I NEED THIS QUICKKKK

Answers

Answer:

x = 17

Step-by-step explanation:

[tex]\\8x - 27 = 3x+58\\5x=85\\x=17[/tex]

Solve the inequality: 4x – 15 > 73

Answers

Answer:

The correct answer is,

[tex]x > 22[/tex]

The manager of a Finance Company has estimated that, because of a recession year, 7% of its 550 loan accounts will be delinquent. If the manager's estimate is correct, what is the probability that exactly 45 of the accounts will be delinquent

Answers

Answer: 0.03532

Step-by-step explanation:

Given : p = 0.07 , n= 550

Binomial probability distribution: [tex]P(X=x)=\ ^nC_xp^x(1-p)^{n-x}[/tex]

The probability that exactly 45 of the accounts will be delinquent will be :

[tex]P(X=45) = \ ^{550}C_{45}(0.07)^{45}(1-0.07)^{550-45}\\\\= \dfrac{550!}{45!505!}(0.07)^{45}(1-0.07)^{505}\\\\\approx0.03532[/tex]

Hence, the required probability = 0.03532

translate to words : 5(x+3)-6+7x​

Answers

5x+15-6+7x
15-6= 9.
5=7= 12
12x+9 .

Answer:

five time in parenthesis x plus three close parenthesis minus six plus seven x

Step-by-step explanation:

five time in parenthesis x plus three close parenthesis minus six plus seven x

y=x+6
y=-2x
Solve by Substitution

Answers

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(  − 2 ,  4  )

Equation Form:

x  =  − 2

y  =  4

Step-by-step explanation:

Have a great day! I hope this helps!

15% of the skittles in andys bag are green. how many skittles are in the bag if 9 of them are green

Answers

Answer:

60

Step-by-step explanation:

9/15=0.6

0.6x100=60

i will love you forever i just need help

Answers

Answer:

then love me more also, i bet the answer is pi

Step-by-step explanation:

Help me please I really need it

Answers

I am pretty sure the answer is 5.5

Answer:

[tex] \frac{9}{2} [/tex]


I NEED HELLPPPPPPPP

Answers

Answer:

51 people

Step-by-step explanation:

Answer:

51

Step-by-step explanation:

190 out of 300 is from England

100 out of 100×190/300 is from England

=63% (approximately)

according to the question

63%×80

63/100 × 80

51(approximately)

Jennifer uses a coupon that gives you 20% off your order. If the total was $18 before the discount, then how much money did she save?

Answers

She would have saved $3.60

4883837447x3 what is the answer?

Answers

Answer:

14,651,512,341

This is how you set up your equation so that you can solve:

4883837447

x                  3

( or just use a calculator like i did lol )

-1/2+(3/4*4/9)= solve

Answers

Answer:

-1/6 and on decimal form is -0.16

Step-by-step explanation:

yes that person is correct I’m assuming .


well , goodluck :))

Can someone help me out pls?

Answers

Answer:

58 degrees

Step-by-step explanation:

Quadrilateral ABCD is graphed on the coordinate plane below. Reflect quadrilateral ABCD across the x-axis.

Answers

Answer:

b

Step-by-step explanation:

h4byvtvt3v3tv3yv3v3tg3tv3tv

10) Find AB.
B
с
a = 7
b = 5
24.639

Answers

Answer:

v

Step-by-step explanation:

Solve for y.
4y = 144
Oy=-36
Oy= -16
O y = 16
y = 36

Answers

Answer:

y=36

Step-by-step explanation:

you may divide each side by 4 to isolate the y. y=(144/4)=36

Answer: y = 36

Step-by-step explanation:

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