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Example: Find the general solution to the subsequent differential equation.
x2y′′ - 7 xy′ + 16 y= 0
Solution
First the roots of (3)
r (r -1) - 7r + 16= 0
r2 - 8r + 16 = 0
(r - 4)2 = 0 ⇒ r =4
Therefore the general solution is,
y(x) = c1 x4 + c2 x4 In x
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