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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