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Find the Laplace transform Y(s) of the solution of the given initial value problem. Then invert to find y(t). Write uc for the Heaviside function that turns on at c, not uc(t). y" + 9y= e−2tu3 = y(0) 0 y'(0) = 0 Y(s) = y(t) = -3s e (8+2)(+9)

Find the Laplace transform Y(s) of the solution of the given initial value problem. Then invert to find y(t). Write uc for the Heaviside function that turns on at c, not uc(t). y" + 9y= e−2tu3 = y(0) 0 y'(0) = 0 Y(s) = y(t) = -3s e (8+2)(+9)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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Find the Laplace transform Y(s) of the solution of the given initial value problem. Then invert to find y(t). Write uc for the Heaviside function that turns on at c, not uc(t). y" + 9y= e−2tu3 = y(0) 0 y'(0) = 0 Y(s) = y(t) = -3s e (8+2)(+9)
Transcribed Image Text:Find the Laplace transform Y(s) of the solution of the given initial value problem. Then invert to find y(t). Write uc for the Heaviside function that turns on at c, not uc(t). y" + 9y= e−2tu3 = y(0) 0 y'(0) = 0 Y(s) = y(t) = -3s e (8+2)(+9)
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