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Solve the following differential equation using the Laplace transform method. d²v(t) du(t) dt + 4v(t) = 2e t dt² if v(0) = v'(0) = 2. +4

Solve the following differential equation using the Laplace transform method. d²v(t) du(t) dt + 4v(t) = 2e t dt² if v(0) = v'(0) = 2. +4

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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1. Solve the following differential equation using the Laplace transform method. d²v(t) du(t) + 4v(t) = 2e¹ dt² dt if v(0) = v'(0) = 2. 2. Use the Laplace transform to solve the integrodifferential equation + 3y(t) + 2 2 ['v y(T) dr = 2e-³t, y(0) = 0 dt 3. Given that v(0) 2 and du(0)/dt = 4, solve d²v du dt² + 5- + 6v= 10e ¹u(t) dt Determine i(t) in the circuit of Fig. of the Laplace transform. 12 i(t) u(t) 1 F m 1H If i(t) = eu (1) A in the circuit shown in Fig. find the value of io(t). io(t) is(t) 1 H 202 4. 5. +4 by means 0.5 F
Transcribed Image Text:1. Solve the following differential equation using the Laplace transform method. d²v(t) du(t) + 4v(t) = 2e¹ dt² dt if v(0) = v'(0) = 2. 2. Use the Laplace transform to solve the integrodifferential equation + 3y(t) + 2 2 ['v y(T) dr = 2e-³t, y(0) = 0 dt 3. Given that v(0) 2 and du(0)/dt = 4, solve d²v du dt² + 5- + 6v= 10e ¹u(t) dt Determine i(t) in the circuit of Fig. of the Laplace transform. 12 i(t) u(t) 1 F m 1H If i(t) = eu (1) A in the circuit shown in Fig. find the value of io(t). io(t) is(t) 1 H 202 4. 5. +4 by means 0.5 F
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