A second order system satisfies the differential equation
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A second order system satisfies the attached differential equation:
Calculate the natural complete response Xn(t) of the system, provided that:
a0 = 13; a1 = 4; x(0) = 1; dx(o)/dt = 4.
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Solution Summary
The solution provides detailed theory explanations on the concept of Homogeneous Linear Equations with Constant Coefficients and then step-by-step calculations.
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Please see attached file.
The theory section is given at the reference.
Write down the characteristic equation
x2 + 4x + 13 = 0
For this equation we have b2 - 4ac = 16 - 4*13 = -36 = 6i2
Hence we have the values:
Hence the general solution is:
The first derivative is
Now substitute the initial ...
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