Introduction to Scientific Computing - Tutorial 13: Recapitulation
Introduction to Scientific Computing - Tutorial 13: Recapitulation
Introduction to Scientific Computing - Tutorial 13: Recapitulation
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Homogeneous — roots<br />
Difference<br />
Differential<br />
Single roots ρ i<br />
x n = ∑ i C iρ n i<br />
Single roots ρ i<br />
x(t) = ∑ i C ie ρ it<br />
Double roots ρ 1 Double roots ρ 1<br />
x n = C 1 ρ n 1 + nC 2ρ n 1<br />
x(t) = C 1 e ρ 1t + tC 2 e ρ 1t<br />
1. Februar 20<strong>13</strong> Bojana Rosic <strong>Introduction</strong> <strong>to</strong> <strong>Scientific</strong> <strong>Computing</strong> Seite 5