The solution of the differential equation \(\frac{{{d^2}y}}{{d{x^2}}} - 3\frac{{dy}}{{dx}} + 2y = {e^{3x}}\) is given by
1
\(y = {c_1}{e^{ - x}} + {c_2}{e^{ - 2x}} + \frac{1}{2}{e^{3x}}\)
2
\(y = {c_1}{e^x} + {c_2}{e^{2x}} + \frac{1}{2}{e^{3x}}\)
3
\(y = {c_1}{e^{ - x}} + {c_2}{e^{2x}} + \frac{1}{2}{e^{3x}}\)
4
\(y = {c_1}{e^x} + {c_2}{e^{ - 2x}} + \frac{1}{2}{e^{3x}}\)