separation of variables

how do you separate these variables dy/dx=1/y^2, y(0)=4

  1. 👍 0
  2. 👎 0
  3. 👁 113
  1. y^2 dy = dx
    (1/3) y^3 = x + c
    but (0,4) is on it so
    (1/3)(4^3) = c
    c = 64/3
    so
    y^3/3 = x + 64/3
    y^3 = 3 x + 64

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. help plz? 2 questions

    1. What does it mean to calculate frequencies within a dataset? to count the number of times a dataset is used by a student to calculate the product of two variables to make a third variable to count the number of cases that fall

  2. Science

    In a scientific experiment, facts, figures, and other evidence gathered through observations are called? A. Data(?) B. Manipulated Variables C. Responding Variables D. Laws

  3. math

    Four key marketing decision variables are price (P), advertising (A), transportation (T), and product quality (Q), Consumer demand (D) is influenced by these variables. The simpiest model for decribing demand in terms of these

  4. Math (Stats)

    In order to predict y-values using the equation of a regression line, what must be true about the correlation coefficient of the variables? A. The correlation between variables must be an x-value of a point on the graph. B. The

  1. MATH ONE QUESTION!!!!!!

    The graph shows the number of handbags that Mandy made in one day. What are the variables? Describe how the variables are related at various points on the graph. I will attach the graph in the comments right now:)

  2. science

    In a scientific experiment, facts, figures, and other evidence gathered through observations are called (1 point) data. manipulated variables. responding variables. laws.

  3. Statistics

    You want to compare the quality of several statistics textbooks. (a) Identify two categorical variables and two quantitative variables that you would use to describe textbook quality. Give a reason for each of your choices. So I

  4. Chemistry

    How might one separate a mixture of water and salt? A solution of water and salt may be separated, if you don't want the water, by allowing the water to evaporate which will leave the salt crystals behind. If you want the water

  1. Science

    You need to separate a mixture of iron filings, sand, and salt. Which of the three would be easiest to separate first and what method would be best? A) The salt would be easiest to separate, and using a magnet would be the best

  2. computer science

    Write a declarations and input statements necessary to read each of the following sets of data values into variables of the appropriate types. You choose the names of the variables. In some cases, punctuation marks or special

  3. Chemistry

    (Paper Chromatography) 1. What carrier solution might work well to separate newspaper inks? Why? 2. What carrier solution might work to separate different salts? Why? 3. What carrier solution might work to separate different fatty

  4. life skill

    Can you please tell me the names of the people who can be an inspiration for Time management communication hobbies self descipline technologies? These peoples should be famous and should be an example for the above qualities,

You can view more similar questions or ask a new question.