Results 1 to 2 of 2

Math Help - DiffEQ subspace of C^1

  1. #1
    Junior Member
    Joined
    Feb 2009
    Posts
    44

    DiffEQ subspace of C^1

    How would I solve this question?

    d/dt y = λy λER (belongs to set of real numbers)
    Show that the solutions of this ODE for a fixed λ - value form a 1-dimensional
    subspace of C^1.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    May 2008
    Posts
    2,295
    Thanks
    7
    Quote Originally Posted by thehollow89 View Post
    How would I solve this question?

    \frac{dy}{dt} = \lambda y, \ \lambda \in \mathbb{R} (belongs to set of real numbers) Show that the solutions of this ODE for a fixed λ - value form a 1-dimensional subspace of C^1.
    the set of solutions is the subspace generated by y_1=e^{\lambda t}.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. diffEQ using L, D, Ly, y(x)... not sure how to approach this
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: February 24th 2010, 07:06 PM
  2. diffeq problem
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: January 27th 2009, 07:56 AM
  3. Some more diffeq help
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: January 26th 2009, 03:18 PM
  4. Some Diffeq / Matrices help
    Posted in the Differential Equations Forum
    Replies: 5
    Last Post: January 25th 2009, 09:28 PM
  5. [SOLVED] DiffEq questions
    Posted in the Advanced Math Topics Forum
    Replies: 1
    Last Post: March 4th 2006, 10:12 PM

Search Tags


/mathhelpforum @mathhelpforum