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Question 86 Apply the Laplace transform to resolve th y"= 5g²-6y=0 y (0) Initially, denote the Laplace transform of Y= L {y (t)} Then, ascertain the equation derived by a the differential equation. =0 Know this now solve for Y(s)=_

Question 86 Apply the Laplace transform to resolve th y"= 5g²-6y=0 y (0) Initially, denote the Laplace transform of Y= L {y (t)} Then, ascertain the equation derived by a the differential equation. =0 Know this now solve for Y(s)=_

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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Question 86 Apply the Laplace transform to resolve the given initial value quandary: y"= 5y²-6y = 0 y (0)=3, y' (0) = 1 Initially, denote the Laplace transform of y(t) Y = L {y (t)} Then, ascertain the equation derived by applying the Laplace transform to the differential equation. as _=0 Know this now solve for Y(s)=_ Furthermore, express the aforementioned solution by breaking it down into its partial fraction decomposition. A B Y(s) = + where Sta S+b a<b Y(t)= Y(s)=_ Subsequently, by performing the inverse transformation, determine the expression for y(t) as follows:
Transcribed Image Text:Question 86 Apply the Laplace transform to resolve the given initial value quandary: y"= 5y²-6y = 0 y (0)=3, y' (0) = 1 Initially, denote the Laplace transform of y(t) Y = L {y (t)} Then, ascertain the equation derived by applying the Laplace transform to the differential equation. as _=0 Know this now solve for Y(s)=_ Furthermore, express the aforementioned solution by breaking it down into its partial fraction decomposition. A B Y(s) = + where Sta S+b a<b Y(t)= Y(s)=_ Subsequently, by performing the inverse transformation, determine the expression for y(t) as follows:
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