for the following equation. 2d²x + 3dx = 2x = 0 dt² dt giren initial conditions x(0) = 0.01 and dx = 3 dt

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For the following equation
2d²x + 3dx = 2x = 0
dt²
dt
giren
initial conditions
dx = 3
dt
i) Determine the values of the arbitrary constant
CA, and Aa
2
or
X and $ )
iv Determine
(111) Determine
ix) Determine
X)
XCO) = 0.01 and
the maximum
vi)
vil Determine
the maximum
the
frequency
Determine the displacement, velocity and
acceleration at t = 1.25 second
Determine the period of motion
the first time the
occurs
maxmum velocity
vii) Determine
vel displacement
velocity
the maximum acceleration
the first time the
ix) Determine
maximum acceleration occurs
are.
real distinct
Lastly if the roots.
roots, repeated lequal, sume rocks or complex
conjugate roots
Transcribed Image Text:For the following equation 2d²x + 3dx = 2x = 0 dt² dt giren initial conditions dx = 3 dt i) Determine the values of the arbitrary constant CA, and Aa 2 or X and $ ) iv Determine (111) Determine ix) Determine X) XCO) = 0.01 and the maximum vi) vil Determine the maximum the frequency Determine the displacement, velocity and acceleration at t = 1.25 second Determine the period of motion the first time the occurs maxmum velocity vii) Determine vel displacement velocity the maximum acceleration the first time the ix) Determine maximum acceleration occurs are. real distinct Lastly if the roots. roots, repeated lequal, sume rocks or complex conjugate roots
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