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
Nadusha1986 [10]
3 years ago
6

Solve the given differential equation by separation of variables. dy dx = xy + 5x − y − 5 xy − 2x + 6y − 12

Mathematics
1 answer:
Solnce55 [7]3 years ago
3 0

solution:

Consider the differential equation DE

Dy/dx = xy + 5x –y -5 /xy -2x + 6y -12

Write the DE as the follows.

Dy/dx = x(y+5) -1(y+5)/x(y-2) +6(y-2)

Dy/dx = (x-1) (y+5)/(x+6)(y-2)

Separate the variables.

y-2/y+5 dy = x-1/x+6 dx

integrate on the both sides,

∫y-2/y+5 dy = ∫x-1/x+6 dx

7in(x+6) -7in(y+5) = x-y+c

In(x+6)∧7 –in(y+5)∧7 = x-y+c , using bIna =Inab

In [(x+6)∧7/(y+5)∧7] = x-y+c   ,using Ina – Inb = In(b/a)

eIn[(x+6)∧7/(y+5)∧7] = ex-y+c    , taking exponents on both sides

(x+6)∧7/(y+5)∧7 = ec.ex-y       ,use eInx = x

(x+6)∧7/(y+5)∧7 = c1ex-y , take ec =c1

Hence, the solution of the DE is (x+6)∧7/(y+5)∧7 = c1ex-y


You might be interested in
PLZ HELP FAST!!! (test)​
Olenka [21]
I can’t see the tea really good
6 0
3 years ago
Read 2 more answers
Jin’s soccer team has 4 coaches and 22 players, and his twin sister’s team has 2 coaches and 11 players. If the relationship bet
nikklg [1K]

Question : Jin’s soccer team has 4 coaches and 22 players, and his twin sister’s team has 2 coaches and 11 players. If the relationship between the number of players and coaches is proportional throughout the league, which ordered pair could represent the total number of coaches and players in the entire league?

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

Answer :

<em>B :</em>

<u>26 coaches and 143 players</u>

<u />

4 0
3 years ago
Read 2 more answers
Heres another on i only have 2 try's I will give you 50 points
____ [38]

Answer:

72

Step-by-step explanation:

bacause the equation of area of square is a^2 and 12×12=144 so each side is 12 feet and the height is 6 making it 12×6 so 72 square feet

3 0
2 years ago
Read 2 more answers
3^2 + (6 • 4^2)10 - 22
baherus [9]
9+(<span>6•16)10-22
9+(96)10-22
9+960-22
969-22
947
</span>
3 0
3 years ago
Read 2 more answers
Collin is building a deck on the back of his house. He has enough lumber for the deck to be 144 square feet. The length should b
joja [24]
Width = x
length = x+10

Area of deck = 144 square feet

Area = length * width

144 = x(x+10)

Solving for x in a quadratic:

x²+10x = 144
x²+10x-144 = 0

Factor:
(x+18)(x-8) = 0

Solving for x:
x = 8, x = -18

Dimensions cannot be negative, therefore x = 8, only.

Length = x + 10
Length = 18

Width = 8
4 0
3 years ago
Other questions:
  • The football team has 30 more members than the basketball teams. If each group had 10 more members, the ratio of their membershi
    12·1 answer
  • Find the area of a triangle bounded by the y-axis, the line
    13·1 answer
  • Amy wants to buy a new and bigger bike. She visits the same store where she purchased her old bike. The manager says the new and
    14·2 answers
  • Raven wants to plant 35 marigold plants, 20 zinnia plants, and 15 daylily plants in her flower garden. If she puts the same numb
    12·1 answer
  • Translate six less than seven times a number is equal to -20 into an equation
    13·1 answer
  • Carly can paint 6/7 of a picture in 3/14 of an hour how many pictures can she paint in a full hour
    10·1 answer
  • First to answer correctly gets brainlesit! and 10 pts:)
    13·1 answer
  • Marcus borrows $3,000 from his local credit union, to be repaid with 3.5% interest over 4 years. What is the simple interest?
    9·1 answer
  • HEEEELP WILL GIVE BRAINLIEST
    10·2 answers
  • A pizza with a diameter of 8 inches costs $10 and a pizza
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!