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I would like to know how to find the values of A1 and A2 in detail

I would like to know how to find the values of A1 and A2 in detail

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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I would like to know how to find the values of A1 and A2 in detail.

Solution 4 We now apply the initial conditions to get A₁ and A₂. v(0) = 5 = A₁ + A₂ du (0) dt v(0) + Ri(0) RC But differentiating Eq. (8.5.1), du dt At t = 0, 5+0 1.923 × 10 × 10-³ = -24₁e -2A₁e-²¹ - 504₂e-50t -260 -2A₁ From Eqs. (8.5.2) and (8.5.3), we obtain A₁ Substituting A₁ and A₂ in Eq. (8.5.1) yields v(t) = -0.2083e +5.208e -2t - 50A₂ = -0.2083 and A₂ -50t (8.5.2) = -260 (8.5.3) = 5.208. (8.5.4)
Transcribed Image Text:Solution 4 We now apply the initial conditions to get A₁ and A₂. v(0) = 5 = A₁ + A₂ du (0) dt v(0) + Ri(0) RC But differentiating Eq. (8.5.1), du dt At t = 0, 5+0 1.923 × 10 × 10-³ = -24₁e -2A₁e-²¹ - 504₂e-50t -260 -2A₁ From Eqs. (8.5.2) and (8.5.3), we obtain A₁ Substituting A₁ and A₂ in Eq. (8.5.1) yields v(t) = -0.2083e +5.208e -2t - 50A₂ = -0.2083 and A₂ -50t (8.5.2) = -260 (8.5.3) = 5.208. (8.5.4)
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