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e-"-3y +2y=12e; where y'(0)=6, (0)=2

e-"-3y +2y=12e; where y'(0)=6, (0)=2

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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W (4) Find Laplace Transform F(s) for the variable x or y in the equations a- y" +2y'-3y=32e³; y'(0) = 12, y(0)=0 dy b- +2y=0; y=1 at t=0, y(0) = 1 dt dy C- +2y=cost; y(0) = 1 dt d- y" + 3y'+2y=1;_y'(0)= 0, y(0)=0 e-"-3y² + 2y = 12e where y'(0) = de f- - 4x=2e²" + e*; where x(0) = 0 dt dx g- -2x=4; where x(0)=1 dt h- x' + 2x=10e³; where x(0) = 6 i- d'y dt² -9y=sint; y'(0)=0, y(0)=0 j- y" +5y' +6y=1; Assuming zero I.C. vid T Ibraheem
Transcribed Image Text:W (4) Find Laplace Transform F(s) for the variable x or y in the equations a- y" +2y'-3y=32e³; y'(0) = 12, y(0)=0 dy b- +2y=0; y=1 at t=0, y(0) = 1 dt dy C- +2y=cost; y(0) = 1 dt d- y" + 3y'+2y=1;_y'(0)= 0, y(0)=0 e-"-3y² + 2y = 12e where y'(0) = de f- - 4x=2e²" + e*; where x(0) = 0 dt dx g- -2x=4; where x(0)=1 dt h- x' + 2x=10e³; where x(0) = 6 i- d'y dt² -9y=sint; y'(0)=0, y(0)=0 j- y" +5y' +6y=1; Assuming zero I.C. vid T Ibraheem
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