Mathematics
Mathematics, 03.04.2020 20:12, joslynndiggs

Use the Laplace transform to solve the following initial value problem: 4y″+3y′+15y=2cos⁡(2t), y(0)=0, y′(0)=0. First, take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation and then solve for L{y(t)}. Do not perform partial fraction decomposition since we will write the solution in terms of a convolution integral.

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Use the Laplace transform to solve the following initial value problem: 4y″+3y′+15y=2cos⁡(2t), y(0)=...

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