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Find the general solution of the diff...

Find the general solution of the differential equation `(dy)/(dx)-y=cosx`

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`` `frac{d y}{d x}-y=cos x`

`` or, `frac{d y}{d x}=cos x+y`

or, `d y=cos x d x+y d x`

Integrating both sides,

`` `int d y=int cos x d x+y int d x+c`

...
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