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27 August, 10:09

Write a differential equation that fits the physical description. The velocityvelocity of a particle movingof a particle moving along a straight linealong a straight line at time t is proportional to the fourthfourth power of its position xposition x.

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  1. 27 August, 10:53
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    The differential equation is

    dx/dt - Kx^4 = 0

    Step-by-step explanation:

    Let V represent the velocity of the particle moving along a straight line at time t.

    We have the position to be x.

    Then we have that

    V is proportional to x^4

    => V = Kx^4

    Where K is constant of proportionality.

    Velocity is the derivative of the position vector with respect to time t, so we can write

    V = dx/dt

    And then

    dx/dt = Kx^4

    So that

    dx/dt - Kx^4 = 0

    This is the differential equation
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