engineering recuitment GATE ME 2023-24 Test Series Engineering Mathematics Differential Equations Higher Order Linear Differential Equations with Constant Coefficients
Particular integral of \(\frac{{{d^2}y}}{{d{x^2}}} + 3\frac{{dy}}{{dx}} + 2y = {e^{ - 2x}} + \sin x\) is
1
\(x{e^{ - 2x}} + \frac{1}{{10}}\left( {\sin x + 3\cos x} \right)\)
2
\( - x{e^{ - 2x}} + \frac{1}{{10}}\left( {\sin x - 3\cos x} \right)\)
3
\( - x{e^{ - 2x}} + \frac{1}{{10}}\left( {\cos x - 3\sin x} \right)\)
4
\( - x{e^{ - 2x}} + \frac{1}{{10}}\left( {\sin x + 3\cos x} \right)\)