Handbook of Laplace Transformation: Fundamentals, Applications, Tables, and Examples |
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1+as+bs² amplitude angle applied assumed becomes caused changes circuit coefficients column consider constant damping denominator derivative determinant differential equations direction e-at e-Zt E₁ electric elements equal equation example expanded expressed factor final force frequency function given gives Hence Holzer tabulation indicates initial value input integral inverse K₁ K₂ Laplace transform LAPLACE TRANSFORM PAIRS mass mechanical method missile mode frequency motion multiplying Note obtained positive R₂ relation response result roots shown in Fig shows sin Wt sinusoidal solution solve spring step Substituting T₁ T₂² Table tan-¹ tan-1 W third TRANSFORM PAIRS cont transient unit voltage w₁ w₁² w₁t w₂² wave X₁ yields zero εται