ELEMENTRY DIFFERENTIAL EQUATIONS Boyce 8ed

# ELEMENTRY DIFFERENTIAL EQUATIONS Boyce 8ed - Taking the...

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ELEMENTRY DIFFERENTIAL EQUATIONS 9 th Edition, Boyce Chapter 7.4 1- 3- Let are the solutions of homogeneous equation x' = P (t) x Then the Wroskian satisfies the equation or Integrating both sides: (C is arbitrary constant of integration)

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Unformatted text preview: Taking the exponential of both sides and rearranging: Let be the set of fundamental solutions. Therefore: & where & Dividing W 1 by W 2 we get: Therefore: where is a constant (c 2 ≠ 0) 7- 9-...
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