Use the Laplace transform to solve the following initial value problem: y' + 7y - 18y=0 y(0) = 1, y(0) = 1 a. First, using Y for the Laplace transform of y(t), i.e., Y = L{y(t)}, find the equation you get by taking the Laplace transform of the differential equation = 0 b. Now solve for Y(s) = = c. Write the above answer in its partial fraction decomposition, Y(s) : where a < b Y(s) d. Now by inverting the transform, find y(t) = . A B + s+a s+b

Use the Laplace transform to solve the following initial value problem: y' + 7y - 18y=0 y(0) = 1, y(0) = 1 a. First, using Y for the Laplace transform of y(t), i.e., Y = L{y(t)}, find the equation you get by taking the Laplace transform of the differential equation = 0 b. Now solve for Y(s) = = c. Write the above answer in its partial fraction decomposition, Y(s) : where a < b Y(s) d. Now by inverting the transform, find y(t) = . A B + s+a s+b

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.

Chapter11: Differential Equations

Section11.1: Solutions Of Elementary And Separable Differential Equations

Problem 54E: Plant Growth Researchers have found that the probability P that a plant will grow to radius R can be...

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