SummaryODEApproach(1pp)

# SummaryODEApproach(1pp) - CIRCUITS WITH ONE ENERGY STORING...

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CIRCUITS WITH ONE ENERGY STORING ELEMENT 0 ) 0 ( ; x x f x dt dx TH = + = + τ 0 ) 0 ( ); ( ) ( ) ( x x t f t ax t dt dx = + = + dx x f e t x e t x t t TH x t t t ) ( 1 ) ( ) ( 0 0 0 + = τ τ τ FIRST ORDER CIRCUITS WITH CONSTANT SOURCES 0 2 1 ; ) ( 0 t t e K K t x t t + = τ transient Steady State solution Find the particular K1, K2, tau and be done 2 1 ) 0 ( K K y + = + Use the initial condition to get one more equation 2 1 (0 ) K x K = + −

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THE ISSUE OF INITIAL CONDITIONS + R C y + 0 t = C v + 0, ( ) 0, ( ) 0 C For t v t y t < = = We are concerned with the situation Immediately before the switching STEADY STATE ASSUMPTION IS COMMON (0 ) (0 ) 0 C v y − = − =
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