Results 1 to 6 of 6

Math Help - initial value problem

  1. #1
    Junior Member
    Joined
    Mar 2009
    Posts
    42

    initial value problem

    Solve the following initial value problem, use t as the variable.

    y^1=2y
    y(0)=3


    Is the question asking me to solve for y or y^1?
    Anyway, I did both...

     <br />
y=3e^{2t}<br />
     <br />
y^1=6e^{2t}<br />
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor Calculus26's Avatar
    Joined
    Mar 2009
    From
    Florida
    Posts
    1,271
    it's asking for y --- in any intial value problem you always want y
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Mar 2009
    Posts
    42
    Quote Originally Posted by Calculus26 View Post
    it's asking for y --- in any intial value problem you always want y

    So in this problem, when t = 0, y = what???

    is it 3?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor Calculus26's Avatar
    Joined
    Mar 2009
    From
    Florida
    Posts
    1,271
    saying y =3 when t = 0

    whenever you have dy/dt = kt

    y = y(0)e^(kt)
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Junior Member
    Joined
    Mar 2009
    Posts
    42
    Quote Originally Posted by Calculus26 View Post
    saying y =3 when t = 0

    whenever you have dy/dt = kt

    y = y(0)e^(kt)

    Is it how I should graph it?

    Follow Math Help Forum on Facebook and Google+

  6. #6
    MHF Contributor Calculus26's Avatar
    Joined
    Mar 2009
    From
    Florida
    Posts
    1,271
    absolutely
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. DE Initial Value Problem
    Posted in the Differential Equations Forum
    Replies: 4
    Last Post: March 3rd 2011, 10:21 PM
  2. initial value problem
    Posted in the Differential Equations Forum
    Replies: 4
    Last Post: January 1st 2011, 02:49 AM
  3. Initial value problem
    Posted in the Differential Equations Forum
    Replies: 4
    Last Post: November 11th 2010, 12:33 PM
  4. Initial Value Problem?
    Posted in the Calculus Forum
    Replies: 4
    Last Post: May 21st 2009, 04:30 PM
  5. Initial Value Problem
    Posted in the Calculus Forum
    Replies: 2
    Last Post: April 30th 2009, 01:57 AM

Search Tags


/mathhelpforum @mathhelpforum