Use the Laplace transform to find the solution of y"+8 y'+Ay=e¯'sint for y'(0)=y(0)=1 & A=25. Then, determine the largest value of A so that y(t) is a decaying sinusoidal function, ie. y exhibits oscillation but its amplitude approaches zero as t - 00.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Use the Laplace transform to find the solution of y"+8 y'+Ay=e¯'sint for y'(0)=y(0)=1 &
A=25. Then, determine the largest value of A so that y(t) is a decaying sinusoidal function, ie. y
exhibits oscillation but its amplitude approaches zero as
t - 00.
Transcribed Image Text:Use the Laplace transform to find the solution of y"+8 y'+Ay=e¯'sint for y'(0)=y(0)=1 & A=25. Then, determine the largest value of A so that y(t) is a decaying sinusoidal function, ie. y exhibits oscillation but its amplitude approaches zero as t - 00.
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