Solve each of the following problems with the trial
Chapter , Problem 2.23(choose chapter or problem)
Solve each of the following problems with the trial solution method. Identify the free, forced, transient, and steady-state responses.
a. \(\ddot{x}+8 \dot{x}+15 x=30 \quad x(0)=10 \quad \dot{x}(0)=4\)
b. \(\ddot{x}+10 \dot{x}+25 x=75 \quad x(0)=10 \quad \dot{x}(0)=4\)
c. \(\ddot{x}+25 x=100 \quad x(0)=10 \quad \dot{x}(0)=4\)
d. \(\ddot{x}+8 \dot{x}+65 x=130 \quad x(0)=10 \quad \dot{x}(0)=4\)
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