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Math Help - Can anyone help me solve this DE?

  1. #1
    Newbie
    Joined
    Oct 2010
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    Can anyone help me solve this DE?

    Could someone please help me solve this? I've tried and I just can't solve it. Thanks in advance for anyone who can help me!

    A Particle moves along the x-axis toward the origin under the influence of a force of attraction at the origin which varies directly as the distance of the particle from the origin. At time t=0, the particle is 4 cm to the right of the origin and is moving toward the origin with a velocity of 20 cm per second and an acceleration of 64 cm per second squared.

    (a) Find the position of the particle as a function of time.
    (b) Find the velocity of the particle as a function of time.
    (c) Find the acceleration of the particle as a function of time.
    (d) Find the position of the particle at t=pi/4 seconds.

    Britt
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  2. #2
    Senior Member
    Joined
    Mar 2010
    Posts
    280
    Your equation is
    <br />
x''+w^2x=0<br />
    Try the solution of the form
    <br />
x=Asin(wt)+Bcos(wt)<br />
    Find three constants A, B, w using given initial conditions
    <br />
x(0) \; x'(0) \; x''(0)<br />
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