equations. In particular we shall consider initial value problems. We shall find that the initial conditions are automatically included as part of the solution process. The idea is simple; the Laplace transform of each term in the differential equation is taken. If the unknown function is y ( t ) then, on taking the transform, an algebraic equation involving Y ( s ) = L { y ( t ) } is obtained. This equation is solved for Y ( s ) which is then inverted to produce the required solution y ( t ) = L 1 { Y ( s ) } .


Learning Outcomes

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