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. Olkoon L(y(t)) =Y(s). Erään toisen kertaluvun differentiaaliyhtälön ratkaisun Laplacen muunnos on5 s2 + 8 – 1Y (s)g3 + 9 sMäärää 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:

Given solution is Ys = 5s2 +s -1s3 +9s This can be written as Ys = 5s2 +s -1s s2 +9 = -19…

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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Question

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.

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:

With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.

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