## Question

###### Find the general solution of the differential equation 2y' + ry + (52? _ 9y = 0 _Answer: y = Cnzn n=mn whereif n > m and n = 2k is even,ifn > m and n = 2k + 1 is odd,mand c is an arbitrary constant:Choose your answer so that Cm = 1 Note: Because the coefficient of y" is zero when 1 = 0, you will not fnd two linearly independent solutions of the differential equation defined near â‚¬ 0. In fact; by looking at the differential equation, You can see that any solution defined on an o

Find the general solution of the differential equation 2y' + ry + (52? _ 9y = 0 _ Answer: y = Cnzn n=mn where if n > m and n = 2k is even, ifn > m and n = 2k + 1 is odd, m and c is an arbitrary constant: Choose your answer so that Cm = 1 Note: Because the coefficient of y" is zero when 1 = 0, you will not fnd two linearly independent solutions of the differential equation defined near â‚¬ 0. In fact; by looking at the differential equation, You can see that any solution defined on an open interval containing I = 0 must have y(0) = 0. Submit answer

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