Find the general solution, Programming Languages

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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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