Fill the spaces please.Consider the initial value problemy'+2y=8t , y(0)=3 Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transform of y(t) by Y(s). Do not move any terms from one side of the equation to the other (until you get to part (b) below)............................=.........................Solve your equation for Y(s).Y(s)=L{y(t)}=......................

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Answered: Fill the spaces please. Consider the…

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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Fill the spaces please.

Consider the initial value problem

y'+2y=8t , y(0)=3

Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transform of y(t) by Y(s). Do not move any terms from one side of the equation to the other (until you get to part (b) below).

...........................=.........................
Solve your equation for Y(s).

Y(s)=L{y(t)}=......................

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