The differential equation of the family of curves y=αcosx+b is
d2ydx2-y=0
d2ydx2+y=0
d2ydx2+2y=0
None of these
Explanation for the correct option:
Given,
y=αcosx+b
On differentiating w.r.t x
dydx=-αsinx+b
Again,
d2ydx2=-αcosx+bd2ydx2=-yd2ydx2+y=0
Hence, the correct answer is option (B).