Let P(s) and Q(s) be polynomials with the degree of P(s) less than the degree of Q(s). Let Q(s) = (s-r₁) (s-r₂2). (srn), where the rk's are distinct real numbers. Given these conditions, Heaviside's expansion formula states that n € ¹{B}(M)= (t) = Σ -erkt. Use Heaviside's expansion formula to determine the P (rk) Q' (Tk) k=1 inverse Laplace transform of F(s) = 3s²-14s+7 (S-2)(s-4)(s+5)*
Let P(s) and Q(s) be polynomials with the degree of P(s) less than the degree of Q(s). Let Q(s) = (s-r₁) (s-r₂2). (srn), where the rk's are distinct real numbers. Given these conditions, Heaviside's expansion formula states that n € ¹{B}(M)= (t) = Σ -erkt. Use Heaviside's expansion formula to determine the P (rk) Q' (Tk) k=1 inverse Laplace transform of F(s) = 3s²-14s+7 (S-2)(s-4)(s+5)*
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 66E
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