Let L(y(t)) = Y(s). The Laplace transform of another solution to the second-order differential equation is Y(s). Determine the solution of the differential equation y(t) and the original differential equation when y(0) = 5 and y′(0) = 0.
Let L(y(t)) = Y(s). The Laplace transform of another solution to the second-order differential equation is Y(s). Determine the solution of the differential equation y(t) and the original differential equation when y(0) = 5 and y′(0) = 0.
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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Let L(y(t)) = Y(s). The Laplace transform of another solution to the second-order
Determine the solution of the differential equation y(t) and the original differential equation when y(0) = 5 and y′(0) = 0.
Transcribed Image Text:Olkoon L(y(t)) =Y(s). Erään toisen kertaluvun differentiaaliyhtälön ratkaisun Laplacen muunnos on
5 s2 + 8 – 1
Y (s)
g3 + 9 s
Määrää differentiaaliyhtälön ratkaisu y(t) ja alkuperäinen differentiaaliyhtälö, kun y(0) = 5 ja y' (0) = 0.
Opastus: Termin y(") (t) saat syöttämällä diff(y(t),t,n)ja termin 8(t) syöttämällä delta(t).
y(t) :
Yhtälö:
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