Use the Laplace transform to solve the following initial value problem: 3-4y/+20y=0 First, using Y for the Laplace transform of y(t), ie. Y = C(y(t)). find the equation you get by taking the Laplace transform of the differential equation Now solve for Y(*) = By completing the square in the denominator and inverting the transform, find y(t) y(0)=0, s/(0)=4
Use the Laplace transform to solve the following initial value problem: 3-4y/+20y=0 First, using Y for the Laplace transform of y(t), ie. Y = C(y(t)). find the equation you get by taking the Laplace transform of the differential equation Now solve for Y(*) = By completing the square in the denominator and inverting the transform, find y(t) y(0)=0, s/(0)=4
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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Transcribed Image Text:Use the Laplace transform to solve the following initial value problem
- 4y + 20y=0
First, using Y for the Laplace transform of y(t), ie. Y = C(y(t)).
find the equation you get by taking the Laplace transform of the differential equation
0
Now solve for Y (s)-
By completing the square in the denominator and inverting the transform, find
y(t)
y(0)-0, 3/(0)-4
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