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ROOT FINDING METHODS AND ROUTHS CRITERION
THE LAPLACE TRANSFORM
2 other sections not shown
angle arctangent assumed equation characteristic equation coefficients cofactor common factor complex roots constant constant of integration Cramer's Rule denominator determinant denominator roots determinant is equal diagonal product digit indicates element minor final value theorem Find forcing function fourth-order determinants given H I G initial conditions initial value iXgJ j'Jg Laplace operator Laplace transform method Laplace transform pairs left diagonal lim sF(s linear differential equations minor expansion multiplied nant number of elements original equation partial fraction expansion polynomial positive real R2CiS radians real roots result RiC2s right diagonal roots with positive Routh's criterion row or column second column Section SHIVd Similarly sinh sixth-order determinant solve subscript number Substituting switch is closed switch is open table of Laplace techniques third column third-order determinant trial divisor unit step voltage yields