persamaan umum gelombang

1
Persamaan Umum Gelombang ∂Ψ ∂t = ∂Ψ ∂t ∂x ∂x = ∂x ∂t ∂Ψ ∂x =v ∂Ψ ∂x Diturunkan terhadap t ∂t ∂Ψ ∂t = ∂t ( v ∂Ψ ∂x ) ∂x ∂x = ∂x ∂t ∂x ( v ∂Ψ ∂x ) 2 Ψ ∂t 2 =v 2 2 Ψ ∂x 2

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Page 1: Persamaan umum gelombang

Persamaan Umum Gelombang

∂Ψ∂t

=∂Ψ∂t∂ x∂ x

=∂x∂ t∂Ψ∂ x

=v ∂Ψ∂ x

Diturunkan terhadap t

∂∂ t∂Ψ∂ t

= ∂∂ t (v ∂Ψ∂ x ) ∂ x∂ x=∂x∂ t ∂∂ x (v ∂Ψ∂ x )

∂2Ψ∂t 2

=v2 ∂2Ψ∂ x2