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The general solution of the differential equation frac text dy text...

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Differential Equations
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The general solution of the differential equation $$\frac{{{\text{dy}}}}{{{\text{dx}}}} = \cos \left( {{\text{x}} + {\text{y}}} \right),$$    with c as a constant, is

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Correct Answer: Option D
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The general solution of the differential equation, $$\frac{{{{\text{d}}^4}{\text{y}}}}{{{\text{d}}{{\text{x}}^4}}} - 2\frac{{{{\text{d}}^3}{\text{y}}}}{{{\text{d}}{{\text{x}}^3}}} + 2\frac{{{{\text{d}}^2}{\text{y}}}}{{{\text{d}}{{\text{x}}^2}}} - 2\frac{{{\text{dy}}}}{{{\text{dx}}}} + {\text{y}} = 0$$       is
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