Question

Notify Me Bookmark

In this problem y=1/(1+c1 e^-x) is a one parameter family of solutions of the first order differential equations y' = y-y^2. Find a solution of the first order IVP consisting of this differential equation and the given initial condition. y(0) = -1/6

In this problem y=1/(1+c1 e^-x) is a one parameter family of solutions of the first order differential equations y' = y-y^2. Find a solution of the first order IVP consisting of this differential equation and the given initial condition. y(0) = -1/6

Image text
In this problem y=1/(1+c1 e^-x) is a one parameter family of solutions of the first order differential equations y' = y-y^2. Find a solution of the first order IVP consisting of this differential equation and the given initial condition. y(0) = -1/6

Detailed Answer

1 0

Please enter your email here. You will get email when this question is answered by our tutor.

Answer
Doubtrix Logo

This Problem has been solved!

You'll get a detailed, step-by-step and expert verified solution.

Join Doubtrix with 7-days free trial

  • Icon Correct & Verified Answers
  • Icon No AI-Generated Answers
  • Icon Video Solution for Difficult Questions
  • Icon Work With Experts to Reach at Correct Answers
Login Sign Up
  • Student Reviews:
  • (1)

Similar/Related Questions

In this problem y = 1/(1+c1e^-x) is a one-parameter family of solutions of the first-order DE y' = y - y^2. Find a solution of the first order IVP consisting of this differential equation and the given initial condition. y(0) = -1/4

Solution
1 0

In this problem, y = c1e^x + c2e^-x is a two parameter family of solutions of the second order differential equations y'' - y = 0. Find a solution of the first order IVP consisting of this differential equation and the given initial condition. y(0) = 1, y'(0) = 8

Solution
0 0

Find a solution of the first order IVP consisting of this differential equation and the given initial condition. y(1) = 0, y'(1) = e. In this problem, y = c1e^x + c2e^-x is a two parameter family of solutions of the second order differential equations y'' - y = 0.
Solution
0 0