Question: Consider a series solution centered at the point a = 0 for the differential equation (a2 - 25)y' ty=0 The solution has the form y(x)

Consider a series solution centered at the pointConsider a series solution centered at the point
Consider a series solution centered at the point a = 0 for the differential equation (a2 - 25)y"' ty=0 The solution has the form y(x) = Cnan n=0 Find the indicated coefficients. Use co and c1 as the undetermined coefficients. (Note: Enter subscripts using the underscore character: c_0 = co) Co = undetermined C1 = undetermined CA C5 Write the first 6 terms of the series, using co and c1 as undetermined coefficients. y(a) = > Cnan to(26) n = 0Write the first 6 terms of the series, using co and c as undetermined coefficients. y(x) = Cnan n=0 to(2 6) Write the first 5 terms of the solution associated with the constant co. Omit co itself. y1 (x) = +O(26 ) Write the first 5 terms of the solution associated with the constant c1. Omit c1 itself. y2 (a) = to(26)

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