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Let y=f(x) satisfies the equation f(x)...

Let `y=f(x)` satisfies the equation
`f(x) = (e^(-x)+e^(x))cosx-2x+int_(0)^(x)(x-t)f^(')(t)dt`
y satisfies the differential equation

A

`(dy)/(dx)+y=e^(x)(cosx-sinx)-e^(-x)(cosx+sinx)`

B

`(dy)/(dx)-y=e^(x)(cosx-sinx)-e^(-x)(cosx+sinx)`

C

`(dy)/(dx)+y=e^(x)(cosx+sinx)-e^(-x)(cosx-sinx)`

D

`(dy)/(dx)-y=e^(x)(cosx-sinx)+e^(-x)(cosx-sinx)`

Text Solution

Verified by Experts

The correct Answer is:
A
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