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Thread: DiffEQ subspace of C^1

  1. March 25th 2009, 02:41 PM #1
    thehollow89
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    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.
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  2. March 25th 2009, 07:46 PM #2
    NonCommAlg
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    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}.
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