The solution of the differential equation{d^{2}y}/{dx^{2}}−3\frac{dy}{dx} + 2y = e^{3x}

Correct Answer is : y=aex+be2x+12e3x

y = ae^{x} + be^{2x} + \frac{1}{2}e^{3x}

y = ae^{−x} + be^{−2x} + \frac{1}{2}e^{−3x}

y = ae^{x} + be^{−2x} + \frac{1}{2}e^{3x}

y = ae^{−x} + be^{2x} + \frac{1}{2}e^{3x}

AAI ATC Junior Executive 26 Dec 2015 Shift 1 Paper

Question : 93 of 120

Marks: +1, -0

The solution of the differential equation

\;{d^{2}y}/{dx^{2}}−3\;{dy}/{dx} + 2y = e^{3x}

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