Consider the initial value problem if 0 < t < 1 { if 1 < t < 7 if 7 < t < ∞, y' + 5y = (formulas) 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). y(t) 0 b. Solve your equation for Y(s). Y(s) = L{y(t)} = y(0) = 3. = = c. Take the inverse Laplace transform of both sides of the previous equation to solve for y(t). help

Consider the initial value problem if 0 < t < 1 { if 1 < t < 7 if 7 < t < ∞, y' + 5y = (formulas) 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). y(t) 0 b. Solve your equation for Y(s). Y(s) = L{y(t)} = y(0) = 3. = = c. Take the inverse Laplace transform of both sides of the previous equation to solve for y(t). help

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 93E

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