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Consider the initial value problem y" + 9y= 18t, y(0) 5, y(0) = 9. = a. 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). b. Solve your equation for Y(s). = Y(s) L{y(t)} = = c. Take the inverse Laplace transform of both sides of the previous equation to solve for y(t). y(t) = help (formulas)

Consider the initial value problem y" + 9y= 18t, y(0) 5, y(0) = 9. = a. 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). b. Solve your equation for Y(s). = Y(s) L{y(t)} = = c. Take the inverse Laplace transform of both sides of the previous equation to solve for y(t). y(t) = help (formulas)

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 8CR
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Consider the initial value problem y" + 9y= 18t, y(0) 5, y(0) = 9. = a. 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). b. Solve your equation for Y(s). = Y(s) L{y(t)} = = c. Take the inverse Laplace transform of both sides of the previous equation to solve for y(t). y(t) = help (formulas)
Transcribed Image Text:Consider the initial value problem y" + 9y= 18t, y(0) 5, y(0) = 9. = a. 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). b. Solve your equation for Y(s). = Y(s) L{y(t)} = = c. Take the inverse Laplace transform of both sides of the previous equation to solve for y(t). y(t) = help (formulas)
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