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
Verizon [17]
3 years ago
5

Find the solution to the differential equation dy/dx = cos(x) / y2 , where y(π/2) = 0.

Advanced Placement (AP)
1 answer:
AysviL [449]3 years ago
3 0

Answer:

y=2\sqrt{\sin \left(x\right)-1},\:y=-2\sqrt{\sin \left(x\right)-1}

Explanation:

\frac{dy}{dx}=\frac{\cos \left(x\right)}{y}2

y'\:=\frac{\cos \left(x\right)}{y}\cdot \:2

yy'\:=2\cos \left(x\right)

yy'\:=2\cos \left(x\right):\quad \frac{y^2}{2}=2\sin \left(x\right)+c_1

\frac{y^2}{2}=2\sin \left(x\right)-2

y=2\sqrt{\sin \left(x\right)-1},\:y=-2\sqrt{\sin \left(x\right)-1}

You might be interested in
A: Suppose scientist conpared the wind speeds and barometric pressure readings of two severe storms over the Atlantic Ocean. For
Anestetic [448]

Answer:

b

Explanation:

7 0
3 years ago
Whats the best way to ensure the accuracy and safety of your accounts?
Sidana [21]
The best way is to add more security. It can be done by using different methods like strengthening passwords with numeric and character symbols. <span> A</span><span>void signing in laptops and computers that are not yours, so your accounts wouldn't be automatically saved. Keep your gadgets and computer free from viruses. Lastly, do not tell your emails and passwords to anyone.</span>
7 0
3 years ago
Which of the following is an example of predation?
RideAnS [48]

Answer: B. A ladybug consumes aphids on a rose bush.

Reason: Predation is when one animal hunts another for food. The ladybug is consuming an aphid, which is a type of bug.

Let me know if that helps! :)

5 0
3 years ago
The opportunity of law enforcement officers to exercise choise in there daily activities is called
Oksana_A [137]
Responsability or to do list

8 0
3 years ago
What is the next letter AZBYCXD
Flura [38]
WE is the right answer, having the A B C D and Z Y X.
6 0
3 years ago
Read 2 more answers
Other questions:
  • Wind farms are set up to use the energy of wind for the generation of electricity. What is the ecological problem of using wind
    5·1 answer
  • What are some good ways to study for my human geography college board test coming up?
    11·2 answers
  • Jack has 100 boy friends. 50 of his boy friends break up with him, how many boy friends does he have left?
    5·2 answers
  • Sound is a form of _______.
    12·2 answers
  • How does the lamb treat Wilbur?
    9·2 answers
  • 1. May karapatan ba ang mga kababaihan ayon sa batas ni Hammurabi at Manu? Ipaliwanag
    12·1 answer
  • A person might write a lyric poem if they were: will give branlest
    7·2 answers
  • I need help on this question please
    8·1 answer
  • A) Identify ONE way in which the outcome of the Second World War in Asia contributed to political change in Asian states in the
    9·1 answer
  • True or false,The system created by y = ½ x - 6 and y = x has no solutions.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!