Handbook of Laplace Transformations: Tables and Examples |
Contents
DETERMINANTS | 1 |
ROOT FINDING METHODS AND ROUTHS CRITERION | 14 |
THE LAPLACE TRANSFORM | 21 |
2 other sections not shown
Common terms and phrases
1+as+bs2 2Tsw₁ a² w₁2 aswi aT₁ bs² C₂ characteristic equation coefficients complex roots constant cos wit cosh Cramer's Rule D₁ denominator roots derivative determinant is equal diagonal product differential equation e-wit sin w1 E₁ ec₁ ec₂ element minor Example expand f(at fourth-order determinants I₁ initial value K₁ LAPLACE TRANSFORM PAIRS lim f(t lim sF(s linear manipulated minor expansion N₁ obtained original equation partial fraction positive real R₁ R₂ radians result right diagonal roots with positive s²/w₁² Section sin w₁ sin w1 V1 sin wit sinh sixth-order determinant solution solve st dt subscript number Substituting switch is open t/Ti T₁ T₁(T₁ T₁² T₁²w₁² T₂ T₂)² T₂² w12 tan-¹ tan-1 Tiwi third-order determinant TRANSFORM PAIRS cont transformation integral Tswi Tw₁ unit step w₁ V1 w₁² w₁t w₂ w₂² wi sin wit wit+ yields zero αζωι αωι Τιωι Τωι ωι