section%204.6 - Chapter 4 Higher-Order Dierential Equations...

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Chapter 4. Higher-Order Di ff erential Equations § 4.6 Variation of Parameters We study linear nonhomogeneous DEs in the form of y + P ( x ) y + Q ( x ) y = f ( x ) where P ( x ) , Q ( x ) and f ( x ) are continuous functions. The general so- lution of the DE is y = y c + y p where y p is a particular solution and y c is the general solution of the corresponding homogeneous DE and y c = c 1 y 1 + c 2 y 2 where y 1 and y 2 are two linearly independent solutions to homogeneous
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