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Use Laplace transforms to solve the following initial value problem. x' + 2y' + x =0, x' - y' + y = 0, x(0) = 0, y(0) = 361 The particular solution is x(t) = and y(t)=

Use Laplace transforms to solve the following initial value problem. x' + 2y' + x =0, x' - y' + y = 0, x(0) = 0, y(0) = 361 The particular solution is x(t) = and y(t)=

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1. 2. 3. 4. 5. 6. 7. Table of Laplace Transforms f(t) = £¯ ¹ (F) 1 t. n = 1, 2, 3,... - at cos at sin at cosh at sinh at L(f) = F(s) S n! sn +1 1 s+a S 2 s + a 2 a s² + a² 2 S s² - k² S k s²-K²
Transcribed Image Text:1. 2. 3. 4. 5. 6. 7. Table of Laplace Transforms f(t) = £¯ ¹ (F) 1 t. n = 1, 2, 3,... - at cos at sin at cosh at sinh at L(f) = F(s) S n! sn +1 1 s+a S 2 s + a 2 a s² + a² 2 S s² - k² S k s²-K²
Use Laplace transforms to solve the following initial value problem. x' + 2y' + x = 0, x' - y' + y = 0, x(0) = 0, y(0) = 361 The particular solution is x(t) = and y(t) =
Transcribed Image Text:Use Laplace transforms to solve the following initial value problem. x' + 2y' + x = 0, x' - y' + y = 0, x(0) = 0, y(0) = 361 The particular solution is x(t) = and y(t) =
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