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so if I want to solve the differential
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so if I want to solve the differential
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so if I want to solve the differential
equation x + 2 X dot plus 4x equals sign
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equation x + 2 X dot plus 4x equals sign
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equation x + 2 X dot plus 4x equals sign
in T I'm going to denote the solution
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in T I'm going to denote the solution
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in T I'm going to denote the solution
with a subscript n and it's going to be
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with a subscript n and it's going to be
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with a subscript n and it's going to be
the imaginary part of
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the imaginary part of
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the imaginary part of
and I'm just using the exponential
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and I'm just using the exponential
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and I'm just using the exponential
response formula 1 over the
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response formula 1 over the
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response formula 1 over the
characteristic polynomial evaluated at I
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ne2 the int
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ne2 the int
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ne2 the int
you might ask how did I get that
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well I basically just took the
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well I basically just took the
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well I basically just took the
complexity aight formula or sorry the
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complexity aight formula or sorry the