Handbook of Laplace Transformation: Fundamentals, Applications, Tables, and Examples |
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1+as+bs² A₁ amplitude angle applied aT₁ C₁ coefficients column constant cos Wt D₁ damping damping ratio dashpot denominator derivative determinant differential equations e-at e-bt e-ct e-Zt sin Wt E₁ electric network example f(tn factor fi(t final value force function Holzer tabulation initial value input integral K₁ K₁ X2 K₂ LAPLACE TRANSFORM PAIRS M₁ M₂ mass mechanical system missile mode frequency numerical values R₁ R₂ radians radians/sec recurring waveform result roots s²/w₁² Section 3.30 Eq shown in Fig sin Wt sine waves sinusoidal solution solve Substituting T₁ T₁² T₂² w₁² Table tan-¹ tan-1 Tiwi torsional spring TRANSFORM PAIRS cont transient U₁² U₂² unit step value theorem voltage w₁ w₁²)² w₁t W²)² w₂² W₂t X₁ yields Z₁² zero αζωι εται Τζωι Τιζωι ωι