ln13 - 2 > x( t ) + 2 x( t ) + x( t ) = 0 ; x( 0 ) = 0 ;...

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> ;; = ++ ∂∂ 2 tt () x t 2 ε t x t x t 0 = x0 0 = t 1 > = ε .1 > t 20 15 10 5 3 2 1 0 -1 -2 -3 Exact solution (blue): > = x t 1 ε 2 1 2 e −ε t sin ( ) 1 ε 2 1 2 t Regular perturbation expansion (red):
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ln13 - 2 > x( t ) + 2 x( t ) + x( t ) = 0 ; x( 0 ) = 0 ;...

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