Consider the differential equation \(\left( {{D^2} - 5D + 6} \right)y = \;{e^{2x}}\cos x\)
1
The complementary function of the differential equation is \(y = {C_1}{e^{2x}} + {C_2}{e^{3x}}\)
2
The particular solution of the differential equation is \({y_p} = - \frac{{{e^{2x}}}}{2}\left( {\cos x + \sin x} \right)\)
3
The complementaryfunction of the differential equation is \(y = {C_1}{e^x} + {C_2}{e^{6x}}\)
4
The particular solution of the differential equation is \({y_p} = - \frac{{{e^x}}}{2}\left( {\cos x + \sin x} \right)\)