Question: Consider the differential equation y'' - 10y' + 25y = 0. (a) Verify that y = e5 and 3/2 = re are solutions. (b)

$Consider the differential equation $ y^{\prime \prime}-10 y^{\prime}+25 y=0 $. (a) Verify that $ y_{1}=e^{5 x} $ and \( y$

Consider the differential equation y'' - 10y' + 25y = 0. (a) Verify that y = e5 and 3/2 = re are solutions. (b) Use constants c and c to write the most general solution. Use underscore to write subscripts. (c) Find the solution which satisfies y(0) = 3 and y'(0) = 6. Y

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