Chapter 5: Problem 30
Consider the initial value problem \(y^{\prime \prime}+\alpha y^{\prime}+\beta y=0, y(0)=y_{0}, y^{\prime}(0)=y_{0}^{\prime} .\) The Laplace transform of the solution, \(Y(s)=\mathcal{L}\\{y(t)\\}\), is given. Determine the constants \(\alpha, \beta, y_{0}\), and \(y_{0}^{\prime}\). $$Y(s)=\frac{2 s-1}{s^{2}+s+2}$$
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Key Concepts
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