Unformatted text preview: c 1 [series] + c 2 [series]. If the recurrence relation is too diﬃcult to ﬁnd, I may ask you to ﬁnd the ﬁrst few nonzero terms of each series. Chapter 6: The Laplace Transform • You need to remember how to integrate functions using usubstitution, integration by parts, and partial fractions. • Compute the Laplace transform of a function from the deﬁnition. • Find the inverse Laplace transform of an expression. The table of Laplace transforms will be provided to you. • Solve initialvalue problems using the theorems on the Laplace transform. • Solve initialvalue problems with discontinuous forcing functions. • Solve initialvalue problems with impulse functions. • Compute the convolution of two functions. • Use the convolution theorem to ﬁnd the inverse Laplace transform of a function....
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 Fall '09
 Williamson
 Math, Differential Equations, Equations, Laplace

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