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The differential equation of minimum ord...

The differential equation of minimum order by eliminting the arbitral constants A and C in the equatic
` y =A [sin(x +C) +cos (x +C)]` is

A

` y" + (sin +cos x) y'=1`

B

y" = (sin x +cos x) y'

C

` y" = (y')^(2) + sin x cos x`

D

y " +y =0

Text Solution

Verified by Experts

The correct Answer is:
D
y= A [sin (x+c) + cos (x +c)]
` y' =A [cos (x+c) -sin (x+c)]`
` y'' =-A [sin (x+c) + cos (x +c)]`
-y
`y " +y=0`
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