The solution of equation (D2 + 4D + 4) y = 0
y = (A+B)e2x
y = (Ax+B)e2x
y = (Ax+B)e−2x
y = (A+B)e−2x
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A.E = m2 + 4 = 0 ⇒ m = ±2i C.F = e0x (A cos 2x + B sin 2x)Read more on Sarthaks.com - https://www.sarthaks.com/872535/the-complementary-function-of-d-2-4-y-e-2x-is-a-ax-b-e-2x-b-ax-b-e-2x-c-a-cos-2x-b-sin-2x
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