lordy12
Dec10-09, 11:13 PM
1. The problem statement, all variables and given/known data
1. y" + 14y' + 58y = 0
a) Classify the system as overdamped, underdamped, or critically damped.
b) Suppose an external service F(t) = 71cos(t) + 43sin(t) is applied to the system above. Find the general solution to the resulting non-homogeneous differential equation.
c) Identify the transient solution and the steady state solution. Describe any long term behavior of the system.
2. F=-kx
3. I find the characteristic equation and find the solution but I do not know what to do with F(t). When solving this differential equation what actually determies the dampness of the system.
1. y" + 14y' + 58y = 0
a) Classify the system as overdamped, underdamped, or critically damped.
b) Suppose an external service F(t) = 71cos(t) + 43sin(t) is applied to the system above. Find the general solution to the resulting non-homogeneous differential equation.
c) Identify the transient solution and the steady state solution. Describe any long term behavior of the system.
2. F=-kx
3. I find the characteristic equation and find the solution but I do not know what to do with F(t). When solving this differential equation what actually determies the dampness of the system.