The solution of the differential equation \(\frac{{{d^3}y}}{{d{x^3}}}

\(y\left( x \right) = {C_1}{e^{3x}} + {C_2}{e^{ - 3x}} + {C_3} + \frac{1}{{10}}\cos x\)

\(y\left( x \right) = {C_1}{e^{3x}} + {C_2}{e^{ - 3x}} + {C_3} - \frac{1}{{10}}\sin x\)

\(y\left( x \right) = {C_1}{e^{3x}} + {C_2}{e^{ - 3x}} + {C_3} + \frac{1}{{10}}\sin x\)

\(y\left( x \right) = {C_1}{e^{3x}} + {C_2}{e^{ - 3x}} + {C_3} - \frac{1}{{10}}\cos x\)

1.	The solution of the differential equation \(\frac{{{d^3}y}}{{d{x^3}}} - 9\frac{{dy}}{{dx}} = \cos x\) is
A.	\(y\left( x \right) = {C_1}{e^{3x}} + {C_2}{e^{ - 3x}} + {C_3} - \frac{1}{{10}}\sin x\)
B.	\(y\left( x \right) = {C_1}{e^{3x}} + {C_2}{e^{ - 3x}} + {C_3} + \frac{1}{{10}}\cos x\)
C.	\(y\left( x \right) = {C_1}{e^{3x}} + {C_2}{e^{ - 3x}} + {C_3} + \frac{1}{{10}}\sin x\)
D.	\(y\left( x \right) = {C_1}{e^{3x}} + {C_2}{e^{ - 3x}} + {C_3} - \frac{1}{{10}}\cos x\)
Answer» B. \(y\left( x \right) = {C_1}{e^{3x}} + {C_2}{e^{ - 3x}} + {C_3} + \frac{1}{{10}}\cos x\)

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