The differential equation of the family of curves y = p cos (ax) + q s

| The differential equation of the family of curves y = p cos (ax) + q sin (ax), where p, q are arbitrary constant, is

A.  

B.

C.  

D.

Right Answer is: D

SOLUTION

y = p cos (ax) + q sin (ax)

y= -apsin(ax)+aqcos(ax)

y’’=-a2pcosax)-a2qsin(ax)

y’’=-a2(p cos (ax) + q sin (ax))

d2y/dx2 = -a2y

d2y/dx2+a2y = 0

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