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1. ⇒  (MHT CET 2021 21th September Evening Shift )

If y = 2 sin x + 3 cos x and y + A d 2 y dx 2 = B, then the values of A, B are respectively

A. 0, 1

B. 0, 1

C. 1, 0

D. 1, 0

Correct Option is (D)

y = 2 sin x + 3 cos x dy dx = 2 cos x 3 sin x d 2 y dx 2 = 2 sin x 3 cos x = ( 2 sin x + 3 cos x ) = y y + d 2 y dx 2 = 0  We have  y + A d 2 y dx 2 = B A = 1 ,   B = 0