Recent content by CloudKel

  1. C

    Second order linear differential equations

    Homework Statement a) ẍ + 5ẋ + 4x = 0 x(0) = 0, ẋ(0)=1 What type of damping? b) ẍ + x = cos(t) x(0) = 0, ẋ(0)= 1 What type of motion? The Attempt at a Solution a) Let x = R Eᴿᵀ R = -4 R = -1 x(t) = CE**-4T + DE**-t C + D = 0 -4C - D = 1 C = 1/5 D = 1/5 And it is...
  2. C

    Relative Velocity: Solving Boat Race Circuits

    Homework Statement Relative velocity question. A power boat has cruising speed of 60 km/hr. It is taking part in a race around three buoys arranged in an equilateral triangle. The second buoy, B, is 5 km due East of the starting/finishing buoy, A. The third buoy, C, is to the North of the...