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Let y=y(x) be the solution of the differ...

Let y=y(x) be the solution of the differential equation,
`dy/dx+y tan x=2x+x^(2)tanx, x in(-pi/2,pi/2),` such that
y(0)= 1. Then

A

`y'(pi/4)+y'(-pi/4)=-sqrt2`

B

`y'(pi/4)-y'(-pi/4)=pi-sqrt2`

C

`y(pi/4)-y(-pi/4)=sqrt2`

D

`y(pi/4)+y(-pi/4)=pi^2/4+2`

Text Solution

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The correct Answer is:
B
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