Differential Equation Given the differential equation y''+4y'+13y=0, y(0)=−1, y'(0)=−2 Apply the Laplace Transform and solve for Y(s)=L{y} Y(s)= Now solve the IVP by using the inverse Laplace Transform y(t)=L^−1{Y(s)}
Differential Equation Given the differential equation y''+4y'+13y=0, y(0)=−1, y'(0)=−2 Apply the Laplace Transform and solve for Y(s)=L{y} Y(s)= Now solve the IVP by using the inverse Laplace Transform y(t)=L^−1{Y(s)}
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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Differential Equation
Given the differential equation
y''+4y'+13y=0, y(0)=−1, y'(0)=−2
Apply the Laplace Transform and solve for Y(s)=L{y}
Y(s)=
Now solve the IVP by using the inverse Laplace Transform y(t)=L^−1{Y(s)}
y(t)=
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