Find the particular solution to the given differential equation that satisfies the given conditions. y'' - 8y' + 15y = 0; y' = 0 and y = 1 when x = 0 y = \frac{5}{2}e^{3x} - \frac{3}{2}e^{5x} y = -\frac{5}{2}e^{3x} - \frac{3}{2}e^{5x} y = -\frac{5}{2}e^{3x} + \frac{3}{2}e^{5x} y = \frac{5}{2}e^{3x} + \frac{3}{2}e^{5x}
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