1. y'(t) − y(t) = 1, Ans. y(t) = e' - 1 y(0) = 0

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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Use Laplace Transform to solve the given initial
value problem:
1. y'(t) − y(t) = 1,
Ans. y(t) = e' -1
2. y'(t) + 6 y(t) = e¹¹,
1
Ans. y(t) =
10
∙e
4t
+
19
10
y(0)=0
-6t
e
y(0)=2
Transcribed Image Text:Use Laplace Transform to solve the given initial value problem: 1. y'(t) − y(t) = 1, Ans. y(t) = e' -1 2. y'(t) + 6 y(t) = e¹¹, 1 Ans. y(t) = 10 ∙e 4t + 19 10 y(0)=0 -6t e y(0)=2
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