Using Laplace transformation, the solution of the following differential equationy"-y = e2t, with y(0) = 0 and y'(0) = 0is:sin (t)y(t) =y(t) = sin (t)O This optionThis optiony(t) = 3- 3cos (t) + 2sin (t)y(t) – e°3.2.6.2.

The differential equation is given as y''-y=e2t and the initial conditions are y(0)=0y'(0)=0

Using Laplace transformation, the solution of the following differential equation y"-y= e2t, with y(0) = 0 and y' (0) = 0 is: yt) =- sin (t) y(t) = sin (t) O This option This option 26 y(t) = 3- 3cos (t) + 2sin (t) y(t) 3 6.

Using Laplace transformation, the solution of the following differential equation y"-y= e2t, with y(0) = 0 and y' (0) = 0 is: yt) =- sin (t) y(t) = sin (t) O This option This option 26 y(t) = 3- 3cos (t) + 2sin (t) y(t) 3 6.

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 Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

Using Laplace transformation, the solution of the following differential equation
y"-y = e2t, with y(0) = 0 and y'(0) = 0
is:
sin (t)
y(t) =
y(t) = sin (t)
O This option
This option
y(t) = 3- 3cos (t) + 2sin (t)
y(t) – e°
3.
2.
6.
2.

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