Find all values of m so that the function y = xm is a solution of the given differential equation. (enter your answers as a comma-separated list.)
x^2y'' − 14xy' + 54y = 0
m =

m = 6,9  

Step-by-step explanation:

We are given that is a solution to given differential equation.

First we 3evaluate the value of:

Putting these value in the above differential equation, we get,

Thus, for m = 9,6 , the function is a solution of given differential equation.

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step-by-step explanation: