1.

The general solution of the differential equation \[\frac{{{d}^{2}}y}{d{{x}^{2}}}=\cos \,\,nx\] is

A. \[{{n}^{2}}y+\cos \,\,nx={{n}^{2}}(Cx+D)\]
B. \[{{n}^{2}}y-sin\,\,nx={{n}^{2}}(-Cx+D)\]
C. \[{{n}^{2}}y+\cos \,\,nx=\frac{Cx+D}{{{n}^{2}}}\]
D. None of these. [Where C and D are arbitrary constants]
Answer» B. \[{{n}^{2}}y-sin\,\,nx={{n}^{2}}(-Cx+D)\]


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