Handbook of Laplace Transformations: Tables and Examples |
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Contents
DETERMINANTS | 1 |
ROOT FINDING METHODS AND ROUTHS CRITERION | 14 |
THE LAPLACE TRANSFORM | 21 |
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Common terms and phrases
1+as+bs2 A B C added angle answer Applying assumed aswi becomes C₁ characteristic closed coefficients column complex consider constant containing Cramer's Rule criterion D₁ denominator derivative determinant diagonal differential equation e-wit sin w1 elements equal Example exists expand expressed factor final Find function given indicates initial value integral inverse K₁ LAPLACE TRANSFORM PAIRS linear manipulated manner method MICHIGAN multiplied Note obtained operator original equation particular positive real R₁ R₂ radians result roots s²/w₁² Section shown side Similarly sin w₁ sin wit solution solve Substituting switch T₁ T₁(T₁ T₂ T₂² w12 Tables tan-¹ tan-1 Tiwi techniques theorem third third-order TRANSFORM PAIRS cont Tw₁ unit step w₁ V1 w₂ w₂² yields zero αζωι αωι Τιωι Τωι