Handbook of Laplace Transformation: Fundamentals, Applications, Tables, and Examples |
Contents
DETERMINANTS | 1 |
ROOT FINDING METHODS | 14 |
THE LAPLACE TRANSFORM | 6 |
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1+as+bs² A B C amplitude applied b₁ C₁ C₂ characteristic equation circuit code number coefficients constant cos Wt Cramer's Rule D₁ damping damping ratio derivative differential equations e-at e-bt E₁ electric electric network elements example f(tn factor final value theorem force function G H I Holzer tabulation initial value input inverse transform K₁ K₂ LAPLACE TRANSFORM PAIRS linear M₁ mass mechanical system missile mode frequency multiplied obtained original equation partial fraction positive real R₁ R₂ radians radians/sec result s²/w₁² Section shown in Fig sin Wt sine waves sinusoidal solution solve Substituting T₁ T₁² T₂² w₁² Table tan-¹ tan-1 Tiwi tan-1 W third-order determinant TRANSFORM PAIRS cont transient U₂² unit impulse unit step voltage w₁ w₁t W²)² w₂² X₁ yields Z₁² zero αζωι εται Τζωι Τιζωι ωι