(Solved):   6. The following initial value problem * + 4x + 3x = 0 with x(0) = 4, (0) = 6, descri ...

 

6. The following initial value problem * + 4x + 3x = 0 with x(0) = 4, ?(0) = ?6, describes the motion of a particlè attached to a spring and subject to friction. (a) Find the general solution of (2). [4 marks (b) Determine the constants in the general solution to find the solution of the inital value problem given by (2). [4 marks] (c) State whether the motion is overdamped or underdamped. Change the coefficient of x to make the motion critically damped. [2 marks] (2)