Question
Find the general solution of the given differential equation.$$y^{\prime \prime}-9 y^{\prime}+9 y=0$$
Step 1
We can solve it by assuming a solution of the form \(y = e^{rt}\), where \(r\) is a constant to be determined. Substituting this into the differential equation gives us the characteristic equation: \[r^2 - 9r + 9 = 0\] Show more…
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