1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ivanzaharov [21]
3 years ago
12

Solve the equation

7D%29%20dx%20%2B%20%282%20x%5E%7B6%7D-15x%20y%5E%7B6%7D%20%29dy%3D0%20%20" id="TexFormula1" title="(12 x^{5}y+12 x^{6}y-3 y^{5} -18x y^{5}) dx + (2 x^{6}-15x y^{6} )dy=0 " alt="(12 x^{5}y+12 x^{6}y-3 y^{5} -18x y^{5}) dx + (2 x^{6}-15x y^{6} )dy=0 " align="absmiddle" class="latex-formula"> leaving your answer in implicit form.
Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
3 0
\underbrace{(12x^5y+12x^6y-3y^5-18xy^5)}_M\,\mathrm dx+\underbrace{(2x^6-15xy^4)}_N\,\mathrm dy=0

M_y=12x^5+12x^6-15y^4-90xy^4
N_x=12x^5-15y^4

-\dfrac{N_x-M_y}N=6\implies\mu(x)=\exp\left(\displaystyle\int6\,\mathrm dx\right)=e^{6x}

\underbrace{(12x^5y+12x^6y-3y^5-18xy^5)e^{6x}}_{\mu M}\,\mathrm dx+\underbrace{(2x^6-15xy^4)e^{6x}}_{\mu N}\,\mathrm dy=0

You can verify that the partial derivatives are equal.

F_x=\mu M
F=(2x^6y-3xy^5)e^{6x}+f(y)

F_y=\mu N
(2x^6-15xy^4)e^{6x}+f'(y)=(2x^6-15xy^4)e^{6x}
f'(y)=0
\implies f(y)=C

\implies F(x,y)=(2x^6y-3xy^5)e^{6x}=C
You might be interested in
PLEASE HELP ME WITH THIS PROBLEM! PLEASE
Vladimir [108]

Answer:

when I find out the two others ill edit this,sorry i'm kinda slow lol

Step-by-step explanation:

<u>Team     Wins    Losses</u>

Tigers     20        

Vikings    25        10

Cougars   30       12

Pirates      35

4 0
2 years ago
How to make 8/11 into and improper fraction
kogti [31]
8/11 cant be an improper fraction because the numerator is smaller than the denominator
7 0
2 years ago
What is the area? (IXL)
Zina [86]

Answer:

45 square meters

Step-by-step explanation:

we know that

The area of trapezoid is equal to

A=\frac{1}{2}(b1+b2)h

where

b1 and b2 are the parallel bases

h is the height of trapezoid (perpendicular distance between the parallel bases)

we have

b1=6\ m\\b2=9\ m\\h=6\ m

substitute

A=\frac{1}{2}(6+9)6

A=45\ m^2

3 0
3 years ago
A map of a park has a scale of 1 inch to 1,000 feet. Another map of the same park has a scale of 1 inch to 500 feet. Which map i
DENIUS [597]

Answer:

1 inch to five hundred feet

Its just like fractions, which ever one is lower has the greater value in ratio

3 0
2 years ago
24:12 in its simplest form
natima [27]

Answer: 2/1

Step-by-step explanation:

24 divided by 12 equals: 2/1

6 0
2 years ago
Read 2 more answers
Other questions:
  • To test the belief that sons are taller than their​ fathers, a student randomly selects 13 fathers who have adult male children.
    15·1 answer
  • Please help me with this radical expression​
    15·1 answer
  • if you brought a stock last year for a price of $106,and it has gone down 15%since then,how much is the stock worth now,to the n
    15·1 answer
  • Tickets that cost $88 for a professional women’s championship soccer game are offered at a 15% discount. What is the sale price?
    8·2 answers
  • If a truck gets 14 mile to the gallon on average, how much does carbon dioxide is emitted into the atmosphere when the truck tra
    13·2 answers
  • Order the following expressions by their values from least to greatest.<br> b-a<br> a -0.5<br> a
    7·2 answers
  • Perform the operations, multiply, and simplify.-a^3b (3a^2 b^5 - ab^4 - 7a ^2 <br> b.
    6·1 answer
  • Yesterday 170 guests at a hotel called room service 255 gas did not call for room service what percentage of the guest at the ho
    7·1 answer
  • If Sheila can type 531 words in 3 minutes, how many words does she type in 1 minute?
    13·1 answer
  • Which of these is a unit of density?<br> km/m<br> kg/m?<br> kg/m<br> kg/m
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!