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b- dy +2y=0; y=1 at t=0, y(0)=1 dt

b- dy +2y=0; y=1 at t=0, y(0)=1 dt

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.3: Maxima And Minima
Problem 20E
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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 +2y=cost; y(0)=1 dt d- y" + 3y'+2y=1; y'(0) = 0, y(0) = 0 e- y"-3y' + 2y = 12e"; where y'(0) = dx f- - 4x=2e²" + e*; where x(0)=0 dt dx -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. Zevid aheem
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 +2y=cost; y(0)=1 dt d- y" + 3y'+2y=1; y'(0) = 0, y(0) = 0 e- y"-3y' + 2y = 12e"; where y'(0) = dx f- - 4x=2e²" + e*; where x(0)=0 dt dx -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. Zevid aheem
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