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Derive the general solution of the following differential equations: i) dy -x+y = f(x) dx ii) (x-1)dy dx - and specialize your result for

Derive the general solution of the following differential equations: i) dy -x+y = f(x) dx ii) (x-1)dy dx - and specialize your result for the case f(x)=1. Hint: Verify that y=e* is a solution of the homogeneous equation. (cosx)-2y = f(x) and specialize your result for the case f(x) = cosx. Hint: Verify that y = tanx is a solution of the homogeneous equation.

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