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प्रश्न
Solve the following differential equation:
`("d"^2y)/("d"x^2) - 4("d"y)/("d"x) + 4y = 0`
उत्तर
The auxiliary equations A.E is m2 – 4m + 4 = 0
(m – 2)2 = 0
m = 2, 2
Roots are real and equal
The complementary function (C.F) is (Ax + B)e2x
The general solution is y = (Ax + B)e2x
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