Q14 of 45 Page 1

Solve the following differential equation:

Given differential equation


is a linear differential equation of type


Where,


P = 1, Q = cos x – sin x


It has, Integrating factor (I.F.)




Its solution is given by,





Integrate by parts, we get





⇒ yex = ex cos x + C


⇒ y = cos x + Ce-x


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