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If y=x+tan x, show that cos^2 x (d^2y)...

If `y=x+tan x`, show that `cos^2 x (d^2y)/(dx^2)-2y+2x=0`

Text Solution

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`dy/d=1+sec^2x`
`(d^2y)/(dx^2)=0+2secxsecxtanx`
`=2se^2xtanx`
`cos^2x*2sec^2xtanx-2(y-x)`
`2tanx-2tanx=0`.
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