Handbook of Laplace Transformation: Fundamentals, Applications, Tables, and Examples |
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1+as+bs2 2Τζω A₁ amplitude applied aT₁ b₁ C₁ coefficients column constant cos Wt D₁ damping damping ratio dashpot denominator derivative determinant differential equations e-at e-bt e-ct e-wit e-Zt sin Wt E₁ electric network example f(tn factor fi(t final value force function Holzer tabulation initial value input integral K₁ K₂ LAPLACE TRANSFORM PAIRS M₁ mass mechanical system missile mode frequency numerical values obtained R₁ R₂ radians radians/sec recurring waveform result roots s²/w₁² shown in Fig sine waves sinusoidal solution solve spring constant Substituting T₁ T₁² T₂ T² w₁² T₂² Table tan-¹ tan-1 Tiwi TRANSFORM PAIRS cont transient U₁² U₂² unit impulse unit step value theorem voltage w₁ w₁t W²)² w₂² X₁ yields Z₁)² Z₁² zero αζωι εται ζωι Τζωι Τιζωι