To find the Laplace transform of L using the definition of the Laplace transform, we’ll need to multiply f(t) by e^(-st), then integrate that product on the interval [0,infinity). This is the definition of the Laplace transform, such that the result is the Laplace transform of f(t), which we write as F(s).
Read MoreTo use a Laplace transform to solve a second-order nonhomogeneous differential equations initial value problem, we’ll need to use a table of Laplace transforms or the definition of the Laplace transform to put the differential equation in terms of Y(s). Once we solve the resulting equation for Y(s), we’ll want to simplify it until we recognize that the terms in our equation match formulas in a table of Laplace transforms.
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