Question: 4. (18 points) Suppose r +(9 -x2)r' + x = 0. Use either the method of multiple-scales or the averaging formulas to estimate the solution

4. (18 points) Suppose r" +(9 -x2)r' + x = 0. Use either the method of multiple-scales or the averaging formulas to estimate the solution in the form x(t) = R(t) cos(t + o(t)) when & is small. In particular, what does the approximate amplitude of a solution have to be

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