laplace\:e^{\frac{t}{2}} laplace\:e^{-2t}\sin^{2}(t) laplace\:8\pi; laplace\:g(t)=3\sinh(2t)+3\sin(2t) inverse\:laplace\:\frac{s}{s^{2}+4s+5} inverse\:laplace\:\frac{1}{x^{\frac{3}{2}}}
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Laplace transforms comes into its own when the forcing function in the differential equation starts getting more complicated. In the previous chapter we looked only at
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In pure and applied probability theory, the Laplace transform is defined as the expected value. If X is the random variable with probability density function, say f, then the Laplace transform of f
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Math is all about finding the right answer, and sometimes that means deciding which equation to use.
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Math is a way of determining the relationships between numbers, shapes, and other mathematical objects.
