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Take the Laplace transform of the following initial value and solve for Y(s) = Ly(t): (sin(nt), +4y= 10, Y(s) = Hint: write the right hand side in terms of the Heaviside function. Now find the inverse transform to find y(t) (Use step(t-c) for u(t).) Note: 0

Take the Laplace transform of the following initial value and solve for Y(s) = Ly(t): (sin(nt), +4y= 10, Y(s) = Hint: write the right hand side in terms of the Heaviside function. Now find the inverse transform to find y(t) (Use step(t-c) for u(t).) Note: 0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Take the Laplace transform of the following initial value and solve for Y(s) = Ly(t): (sin(nt), 10, y' + 4y = Y(s)=[ Hint: write the right hand side in terms of the Heaviside function. Now find the inverse transform to find y(t) = (Use step(t-c) for ue(t).) Note: म (82+77²)(82+4) 0<t<1 1st म 1²- y(0) = 0, / (0) = 0 2+²
Transcribed Image Text:Take the Laplace transform of the following initial value and solve for Y(s) = Ly(t): (sin(nt), 10, y' + 4y = Y(s)=[ Hint: write the right hand side in terms of the Heaviside function. Now find the inverse transform to find y(t) = (Use step(t-c) for ue(t).) Note: म (82+77²)(82+4) 0<t<1 1st म 1²- y(0) = 0, / (0) = 0 2+²
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