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
ruslelena [56]
3 years ago
10

What is the solution to the differential equation dydx=5y2 with the initial condition y(0) = 3?

Mathematics
1 answer:
IceJOKER [234]3 years ago
3 0

Answer:

Step-by-step explanation:

dydx = 5y^{2} \\\frac{dy}{5y^{2}} = dx\\

Integrating both sides yields:

-\frac{1}{5y} = x + c\\ y = -\frac{1}{5x + 5c} \\y(0) = 3 => 3 = -\frac{1}{0 + 5c} => c = -\frac{1}{15}

Our solution is:

y = -\frac{1}{5x - \frac{1}{3} }

You might be interested in
I really need help with this question. I might be overthinking it but i thing it’s halogen
Oksi-84 [34.3K]

Solution:

From the given graph;

The demand for the lightbulb that increased with each passing year is Halogen.

Hence, the answer is B

3 0
1 year ago
A Basketball Tournament starts with 128 Teams.in each round half of the teams are eliminated How Many teams remain after 5 round
Brrunno [24]

Total number of team in starting = 128 teams.

In each round half of the teams are eliminated.

Therefore, number of teams remain after first round = 128/2 = 64.

The number of teams remain after second round = 64/2 = 32.

The number of teams remain after third round = 32/2 = 16.

The number of teams remain after fourth round = 16/2 = 8.

The number of teams remain after fifth round = 8/2 = 4.

<h3>Therefore, after 5 rounds there remain only 4 teams.</h3>
8 0
3 years ago
Read 2 more answers
Three less than triple a<br> number is the same as the<br> number plus 57. What is<br> the number?
Annette [7]

First thing you want to do, is reverse the question.

57/3 - 3.

57/3 = 19.

19 - 3.

Your answer is 16.

7 0
3 years ago
What is the lateral area of the pyramid
Mkey [24]

Answer:

43.75 ft²

Step-by-step explanation:

s_l = (l√(w/2)² + h²) + (w√(l/2)² + h²)

l & w become 3.5, and h becomes 6.

<em />s_l<em> </em>= (3.5√(3.5/2)² + 6²) + (3.5√(3.5/2)² + 6²)

<em>Step 1:Because this is a square pyramid, what you see above essentially becomes what you see below.</em>

<em />s_l = 2(3.5√(3.5/2)² + 6²)

<em>Step 2: Divide 3.5 by 2 to get 1.75.</em>

<em />s_l<em> </em>= 2(3.5√1.75² + 6²)

<em>Step 3: Square both 1.75 and 6 to get 3.0625 and 36 respectively.</em>

s_l = 2(3.5√3.0625 + 36)

<em>Step 4: Add 3.0625 and 36 to get 39.0625.</em>

<em />s_l = 2(3.5√39.0625)

<em>Step 5: The square root of 39.0625 is 6.25.</em>

<em />s_l<em> </em>= 2(3.5 * 6.25)

<em>Step 6: Multiply 3.5 by 6.25 to get 21.875.</em>

<em />s_l = 2(21.875)

<em>Step 7: Multiply 2 by 21.875 to get 43.75.</em>

<em />s_l = 43.75 ft²

The lateral area of this pyramid is 43.75 ft².

<em />

<em />

3 0
2 years ago
The point(5/13,Y) IS IN THE 4TH quadrant corresponds to angle on the unit circle
shutvik [7]
4th quadrant is positive x (cos) and negative y (sin)

Use the Pythagorean Theorem to calculate the value of y (sin).
x² + y² = c²
5² + y² = 13²
25 + y² = 169
       y² = 144
       y = 12

Since the y-value is negative in the 4th quadrant, then y = -12
6 0
3 years ago
Other questions:
  • Please help, question and answers are in the picture.
    14·2 answers
  • (4.8 x 105 km) x (2.0 x 103 km)
    13·1 answer
  • 15 pints equal how many cups
    12·2 answers
  • A water cooler holds 18 liters of sports drink. Approximately how many gallons is this? (1 gallon = 3.785 liters
    12·2 answers
  • You spin the spinner and flip a coin.
    10·1 answer
  • Please help 7th grade math
    11·1 answer
  • The two triangles are similar. Find the values of the unknown variables.
    13·1 answer
  • What is the equation of the blue line
    6·2 answers
  • Solve 124.01 plus 12.001
    12·2 answers
  • PLS HELP!!! WILL MARK BRAINLIEST!!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!