If a particular integral of the differential equation \((D^2+2D-1)y=e^{ax}\) is \(\frac{{ - 4}}{7}{e^{ax}}\), then the value of 'a' is

\(\left( {\frac{1}{2}~or~\frac{{ - 3}}{2}} \right)\)

\(\left( {\frac{1}{2}~or~\frac{3}{2}} \right)\)

\(\left( {\frac{{ - 1}}{2}~or~\frac{{ - 3}}{2}} \right)\)

\(\left( {\frac{{ - 1}}{2}~or~\frac{3}{2}} \right)\)

If a particular integral of the differential equation \((D^2+2D-1)y=e

1.	If a particular integral of the differential equation \((D^2+2D-1)y=e^{ax}\) is \(\frac{{ - 4}}{7}{e^{ax}}\), then the value of 'a' is
A.	\(\left( {\frac{1}{2}~or~\frac{3}{2}} \right)\)
B.	\(\left( {\frac{{ - 1}}{2}~or~\frac{{ - 3}}{2}} \right)\)
C.	\(\left( {\frac{1}{2}~or~\frac{{ - 3}}{2}} \right)\)
D.	\(\left( {\frac{{ - 1}}{2}~or~\frac{3}{2}} \right)\)
Answer» C. \(\left( {\frac{1}{2}~or~\frac{{ - 3}}{2}} \right)\)

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