\({{{d^2}y} \over {d{x^2}}} + 4{{dy} \over {dx}} + 3y = \sin 2x\)

The particular integral for the differential equation is:

1

\({1 \over 7}\sin 2x\)

2

\({{ - 1} \over {65}}\left( {8 \cos 2x + \sin 2x} \right)\)

3

\({{ - 1} \over {65}}\left( {4\cos 2x + \sin 2x} \right)\)

4

\({1 \over 7}\left( {\sin 2x + 2\cos 2x} \right)\)

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