Calculus II

Suppose that y = f (t) satisfies the differential equation dy/dt=y(2−y) and initial condition f (0) = 1. Find an explicit expression for f (t).

  1. 👍 0
  2. 👎 0
  3. 👁 94
asked by Joe

Respond to this Question

First Name

Your Response

Similar Questions

  1. 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

    asked by Karen on December 8, 2014
  2. math

    find the particular solution that satisfies the differential equation and the initial condition f’’(x)=x^2 , f’(0)=4, f(0)=8 f(x)=

    asked by Anonymous on March 6, 2019
  3. calculus

    Find the particular solution that satisfies the differential equation and the initial condition. f ''(x) = x^2, f '(0) = 8, f(0) = 8 f (x) = ?

    asked by Sam on April 7, 2016
  4. Calc 2

    Find the solution of the differential equation that satisfies the given initial condition. dy/dx= x/y, y(0) = −7

    asked by TayB on March 29, 2016
  5. Calc 2

    Find the solution of the differential equation that satisfies the given initial condition. du/dt= (2t + sec^2(t))/(2u), u(0) = −4

    asked by TayB on March 29, 2016
  6. Calc

    Find the particular solution that satisfies the differential equation and the initial condition. f '(s) = 10s − 4s3, f(3) = 7 & f ''(x) = 6, f '(2) = 14, f(2) = 19

    asked by Emily on October 26, 2016
  7. calculus

    Find the solution of the differential equation that satisfies the given initial condition. dp/dt=2 sqrt(pt), P(1)=5 my answer: P=(2/3t^(3/2)+(15sqrt(5)-10)/15)^2 how is it wrong?

    asked by kyle on March 20, 2016
  8. calculus-differential equation

    Consider the differential equation: (du/dt)=-u^2(t^3-t) a) Find the general solution to the above differential equation. (Write the answer in a form such that its numerator is 1 and its integration constant is C). u=? b) Find the

    asked by Jeff on February 5, 2008
  9. Calculus!!

    Consider the differential equation given by dy/dx = xy/2. A. Let y=f(x) be the particular solution to the given differential equation with the initial condition. Based on the slope field, how does the value of f(0.2) compare to

    asked by Anonymous on April 23, 2016
  10. Calculus

    Consider the differential equation dy/dx = 2x - y. Let y = f(x) be the particular solution to the differential equation with the initial condition f(2) = 3. Does f have a relative min, relative max, or neither at x = 2? Since

    asked by Anonymous on May 6, 2017

More Similar Questions