Problem 11. (15 points) Use the Laplace transform to solve the following initial value problem: y...
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Problem 11. (15 points) Use the Laplace transform to solve the following initial value problem: y" + 4y = cos(3t) dit on thin neblom. y(0) 0, / (0) = 0 First, using Y for the Laplace transform of y(t), i.e., Y = C{y(t)}, find the equation you get by taking the Laplace transform of the differential equation and solving for Y: Y(s) = Find the partial fraction decomposition of Y(s) and its inverse Laplace transform to find the solution of the IVP: y(t) = Problem 11. (15 points) Use the Laplace transform to solve the following initial value problem: y" + 4y = cos(3t) dit on thin neblom. y(0) 0, / (0) = 0 First, using Y for the Laplace transform of y(t), i.e., Y = C{y(t)}, find the equation you get by taking the Laplace transform of the differential equation and solving for Y: Y(s) = Find the partial fraction decomposition of Y(s) and its inverse Laplace transform to find the solution of the IVP: y(t) =
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Related Book For
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1111827052
10th edition
Authors: Dennis G. Zill
Posted Date:
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