The following is an IVP: Let's introduce Y(a) = C(v(t)) +4y= cos(2), v(0)=3, (0)-8. Part 1 Apply the Laplace transform of both sides of the ODE. Evaluate each Laplace Transform, but do not move any terms from one side to the other side. Enter the equation below help (formulas) Part 2 Solve the above equation to get Y(a) and enter it below. Y(a) = C (y(t)) - Part 3 Take the inverse Laplace transform of Y(a) to get y(t) and enter it below. v(t)-C-¹(Y (0)) -

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The following is an IVP:
Let's introduce Y(a) = C{v(t)}
y" + 4y = cos(2), y(0)=3, 1/ (0) 8.
Part 1 Apply the Laplace transform of both sides of the ODE. Evaluate each Laplace Transform, but do not move any terms from one side to the other
side.
Enter the equation below:
help (formulas)
Part 2 Solve the above equation to get Y(a) and enter it below.
Y(a)=C(v(t)) -
Part 3 Take the inverse Laplace transform of Y(a) to get y(t) and enter it below:
y(t) = C-¹(Y(0)) =
Transcribed Image Text:The following is an IVP: Let's introduce Y(a) = C{v(t)} y" + 4y = cos(2), y(0)=3, 1/ (0) 8. Part 1 Apply the Laplace transform of both sides of the ODE. Evaluate each Laplace Transform, but do not move any terms from one side to the other side. Enter the equation below: help (formulas) Part 2 Solve the above equation to get Y(a) and enter it below. Y(a)=C(v(t)) - Part 3 Take the inverse Laplace transform of Y(a) to get y(t) and enter it below: y(t) = C-¹(Y(0)) =
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