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
DedPeter [7]
2 years ago
6

Solve the equation (1 + x²)dy +xydx= 0​

Mathematics
1 answer:
Tatiana [17]2 years ago
7 0

Answer:

y=\frac{c}{\sqrt[]{x^2+1} }

Step-by-step explanation:

(1 + x²)dy +xydx= 0​

(1+x^2)dy=-xydx\\\frac{1}{y}dy=\frac{-x}{x^2+1}dx\\

Integrate both side

lny=-\frac{1}{2} ln(x^2+1)+c\\y=\frac{c}{\sqrt[]{x^2+1} }

You might be interested in
Compare simplifying before multiplying fractions with simplifying after multiplying the fractions
Kipish [7]
<span>We will start using a new way to indicate simplifying fractions. When a numerator or 
a denominator gets simplified, we will cross it out with a slash and write the new 
numerator or denominator next to it (either above it or below it).</span><span>The number you divide by (the 4) does not get indicated in any way! You only 
think about it in your mind: “I divide 12 by 4, and get 3. I divide 20 by 4, and get 5.”</span><span>You may not see any advantage over the “old” method yet, but this shortcut will 
come in handy soon.</span> <span />
5 0
2 years ago
Read 2 more answers
A mini-cone has a diameter of 3 inches and holds 10 in3 of ice cream. A mega-cone holds 49.13 in3 of ice cream. If the cones hav
marissa [1.9K]
The answer would be D
3 0
2 years ago
What is the value of x in the diagram? A circular pool with a diameter of 18 ft will have a uniform 4 ft concrete walkway poured
Lunna [17]
If you visualize the problem, there are two concentric circles, the pool, and the pool plus the walkway. So, we have to subtract the area of these two concentric circles to find the walkway.

Bigger circle: Pool plus walkway
----------------------------------
diameter = 18 + 4(2)   -- this is because there is 2 ft of walkway at each far end
diameter = 26 ft
Area = pi*(26/2)^2
Area = 530.93 ft2

Smaller circle:pool
---------------------
diameter = 18 ft
Area = pi*(8/2)^2
Area = 50.27 ft2

Area of walkway
----------------
A = 530.93 - 50.27
A = 480.66 ft2

Then the cost would be
Cost = $4.25 * 480.66
Cost = $2,042.81
8 0
3 years ago
How do you you divide 67by6
Law Incorporation [45]
You first set it up as long division. 
Second you would find out how many times 6 goes into 67, so count by 6's until you get close 67.
Third once you get that number you write it on top of the long division and then you would subtract whatever that number is below which is 66 because 6 * 11= 66.
So then you would subtract 67 minus 66 which would be 1. Then go from there and you'll get your answer.

Hope this helps!
6 0
3 years ago
3.4-2.8d+2.8d-1.3 Combine like terms
vovikov84 [41]

Answer:  2.1

Step-by-step explanation:

3.4 - 2.8d + 2.8d - 1.3

add the variables together and the coefficients or add the d's with d's and 3.4 with 1.3

= 3.4 - 1.3 = 2.1

=2.8d - 2.8d = 0

The final answer would be 2.1

7 0
2 years ago
Other questions:
  • Identify patterns 1 ,1 ,1, 2, 1 ,4, 1
    14·2 answers
  • Tonya decided to rent a car for her vacation to Florida. While she was in Florida, a hurricane passed through and flooded the ca
    7·1 answer
  • The population of the US is about 300,000,000. If Spanish is the primary language for 10.7 percent of the population , about how
    5·2 answers
  • Mathew’s mom asked him to go to the store for her. To get to the store he walked seven blocks. He caught the bus and rode 13 blo
    6·2 answers
  • A basketball player Made 63 out of 75 free throws what percent is this
    15·1 answer
  • Find the equation of the line passing<br> through the points (2, 1) and (5, 10).<br> y = [? ]x + [ ]
    8·1 answer
  • Kim and Danielle each improved their yards by planting hostas and ivy. They bought their supplies from the same store. Kim spent
    5·1 answer
  • 3. The product of two rational numbers is 15. If one of the numbers is - 10, find the other.​
    8·1 answer
  • PLEASE HELP!!<br><br> WILL MARK BRAINLIEST!<br><br> What is the measure of arc AB?
    14·1 answer
  • If you take a number, times by 8 then add 6. You get the same as if you took the number multiply it by 3 then subtract 7. What i
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!