calculus

posted by .

I am having alot of trouble remembering how to do this and this is a practice question for my final if you could help that would be great. Solve the differential equation (dy/dx)=(3x)/(1-x^2)

  • calculus -

    dy = (3x)/(1-x^2) dx
    y = Integral of [3x/(1-x^2)] dx + constant

    For the integration, let
    1-x^2 = u
    -2x dx = du
    Which make the integral
    Integral of (-3/2)du/u = -(3/2)ln(1-x^2)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Pre-Calculus

    I am having trouble with several problems: 1) Find the coordinates of the center, foci, and the vertices, and the equations of the asymptotes of the graph of the equation (x+1)^2/2 - y^2/8 =1 2) Write the standard form of the equation …
  2. Pre-Calculus

    I am having trouble with several problems: 1) Find the coordinates of the center, foci, and the vertices, and the equations of the asymptotes of the graph of the equation (x+1)^2/2 - y^2/8 =1 2) Write the standard form of the equation …
  3. Calculus

    I'm having trouble with part of a question in a problem set. The question reads as follows: Continuous price discounting. To encourage buyers to place 100-unit orders, your firm's sales department applies a continuous discount that …
  4. Calculus

    Solve the differential equation. t(dy/dt) + 2y= t^3 t>0, y(1)=0 I think I solved it properly, I'm just trying to check my final solution.
  5. Functions

    What's the best way to solve functions? I can do basic ones, but have trouble with the harder ones. I'm having trouble with the following: Inputs x 1, 2, 3, ?
  6. Functions - more info

    Sorry, I forgot to enter all the info before. Below is the updated info for the problem. What's the best way to solve functions?
  7. Calculus

    Solve the differential equation dy/dx = -xe^y and determine the equation of the curve through P(1,2) I tried solving the differential equation and I get y = log(x^2/2 + C). Is this correct?
  8. Math

    Hello I am having trouble with a pre-calculus problem. The problem is ln|Sin2X-CosX-1|=0 if you could help by listing the steps to solve that would be great! Thanks!
  9. PLEEEEEAAAASE HELP WITH DIFFERENTIAL EQ PROBLEMS!!

    1) What are the equilibrium solutions to the differential equation and determine if it is stable or unstable with the initial condition y(-4)=1: 0.1(y+2)(4-y) 2) Use Euler's method with step size=0.5 and initial condition y(0)=3 to …
  10. Help! Calculus

    I am so confused on how to solve this problem. I have it set up with y's on one side and x's on the other but I don't know what to do from there. Question: Solve the differential equation. The initial condition is y(0) = 1. ((x^2+1)^(1/2))(dy/dx) …

More Similar Questions