Solve the initial-value problem where f(t) = 2: -1; y' - y = f(t), y(0) = 1 0 ≤ t ≤1 t> 1 in the following two ways: a) Using the Laplace transform

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Q: (b) Prove that if a = b (mod m) and if b = c (mod m), then a = c (mod m).

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Q: Compute (6993).

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Q: In(x) - 6x² In(x) = -5 ln(x)

A: Given that the equation is:

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Q: Use properties of determinants to evaluate the given determinant by inspection. 10 0-2 7 0 06 SOO 5

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Q: Use the method of undetermined coefficients to solve the initial value problem. O O O O O || || 10 9…

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Q: 6. Does the sequence converge or diverge? If it converges, then find the limit. an- nª-3e" 2e" + nª

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