Recent content by MLB32

  1. M

    Spring DE- Find position at any time t.

    Thanks for the help. Homework Statement A spring is stretched 12 cm by a force equal to 360 dynes. A mass of 120g is attached to the end of the spring. The system is then set to motion by pulling the mass 3cm above the point of equilibrium and releasing it, at time t=0, with initial speed...
  2. M

    Solve IVP DE: x'=-3x+4y-2, y'=-2x+3y, x(o)=-1, y(o)=3

    Thanks for the help. Homework Statement Solve the IVP: x'=-3x+4y-2, y'=-2x+3y, x(o)=-1, y(o)=3 The Attempt at a Solution x''=-3x'+4y' x''=-3x+4(-2x+3y)=-3x-8x+12y y=(x'+3x+2)/4 x''=-3x-8x+12((x'+3x+2)/4) x''-x=6 xgeneral=xh+xp Xg=Ce^t+Ce^-t-6 Yg=1/4(Ce^t-Ce^-t+3Ce^t+3Ce^t)...