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    Prove a Solution to a Probability Distribution

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    Suppose that u_1 and u_2 are solutions of the PDE

    delta(u)/delta(t) + p(x, t)*delta(u)/delta(x) = 0

    Show that u = (c_1)(u_1) + (c_2)(u_2) is also a solution to the PDE for any constants (c_1) and (c_2).

    Note: This shows that equation (1) is linear. For those of you who have taken linear algebra, this also shows that the set of all solutions to the PDE (1) is in fact a vector subspace of the space of all differentiable functions, c^-1 (R x {t >= 0})

    © BrainMass Inc. brainmass.com December 24, 2021, 7:05 pm ad1c9bdddf
    https://brainmass.com/math/probability/prove-a-solution-to-a-probability-distribution-161592

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    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com December 24, 2021, 7:05 pm ad1c9bdddf>
    https://brainmass.com/math/probability/prove-a-solution-to-a-probability-distribution-161592

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