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The complementary function of is d^2y/dx^2 - dy/dx = 0 is ______ (a) A + B e^x (b) (A + B) e^x (c) (Ax + B) e^x (d) (A ex + B)

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The complementary function of is d2y/dx2 - dy/dx = 0 is ______

(a) A + B ex

(b) (A + B) ex 

(c) (Ax + B) ex 

(d) (A ex + B)

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(a) A + Bex

A.E is m2 – m = 0 

⇒ m(m – 1) = 0 

⇒ m = 0, 1 

CF is Ae0x + Bex = A + Bex

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