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
Gala2k [10]
3 years ago
10

Diff Eq dy/dx= (ycos(x))/(1+y^2) initial condition is y(0)=1 work below ...?

Mathematics
1 answer:
Volgvan3 years ago
5 0
Dy/dx = (ycos(x))/(1 + y²)
(1 + y²)/y dy = cos(x) dx
(1/y + y) dy = cos(x) dx
Integrating:
ln(y) + y²/2 = sin(x) + c
ln(1) + 1/2 = sin(0) + c
c = 1/2
Thus,
ln(y) + y²/2 = sin(x) + 1/2
You might be interested in
A and B are complementary angles. If A = (x – 23)° and m
Lana71 [14]

Answer:

∠ B = 85°

Step-by-step explanation:

Complementary angles sum to 90° , then

x - 23 + 2x + 29 = 90 , that is

3x + 6 = 90 ( subtract 6 from both sides )

3x = 84 ( divide both sides by 3 )

x = 28

Then

∠ B = 2x + 29 = 2(28) + 29 = 56 + 29 = 85°

5 0
2 years ago
How to find the perimeter
Elis [28]
If you're trying to find the perimeter of a specific problem, you can add a file. To solve perimeter for any problem, you add all the side lengths. Hope that helps! :)
6 0
3 years ago
Read 2 more answers
Pls help asapWhich of the q-values satisfy the following inequality?
Taya2010 [7]

Answer:

q=1 jeududhdhdhhdhhehd

4 0
3 years ago
Darryl and Kayla sold pies for a school fundraiser. Darryl made $38 from 2 chocolate pies and 4 apple pies. Kayla made $138 from
REY [17]

Answer:

$3

Step-by-step explanation:

Let chocolate pie be x and apple pie be y

Darryl made $38 from 2 chocolate pies and 4 apple pies

That’s

2x + 4y = $38

Kayla made $138 from 14 chocolate pies and 12 apple pies

That’s

14x + 12y = $138

We now have two equations

Equation 1 : 2x + 4y = 38

Equation 2: 14x + 12y = 138

Multiply equation one by 12 and equation 2 by 4 to eliminate apple pie y

We have

12 x 2x + 12 x 4y = 12 x 38

4 x 14x + 4 x 12y = 4 x 138

24x + 48y = 456

56x + 48y = 552

Subtract equation equation two from one

-32x = -96

Divide both sides by -32

x = -96/-32

x = 3

A chocolate pie cost $3

4 0
3 years ago
Please help with this question. I really need HELP!
olya-2409 [2.1K]

Answer:

B is supplementary

Step-by-step explanation:


8 0
3 years ago
Other questions:
  • 1 and 3 fourths - 7/10
    13·1 answer
  • Find the value of w if the expression wx(3y² + 6y – 2) simplifies to the expression 6xy² + 12xy – 4x.
    12·2 answers
  • In gfc factor 24-9 and 14x+63
    7·1 answer
  • Jim had one hour to get to the
    15·1 answer
  • Which scenario is modeled by the equation ?
    13·1 answer
  • Find the percentage area of moss in a lawn if 3 out of 24 squares contained moss
    6·2 answers
  • Two thirds of the fruit in the basket are apples. One fourth of the apples are green apples. What fraction of the fruit in the b
    14·2 answers
  • 3 is 12% of please help asap
    14·2 answers
  • Nelson and Jamie both want to buy a $250 bicycle.
    10·2 answers
  • ) What is the perimeter? use 3.14
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!