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Solving differential equations using laplace

Using the properties of the Laplace transform, we can transform this constant coefficient differential equation into an algebraic

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16 Laplace transform. Solving linear ODE

How we solve Laplace’s equation will depend upon the geometry of the 2-D object we’re solving it on. Let’s start out by solving it on the rectangle given by \(0 \le x \le L\),\(0 \le y

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Laplace transform applied to differential equations

Consider now a 2nd order linear differential equation with constant coefficients: The Laplace transform of each term is The equation is then rewritten in the form Let the initial conditions be