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

Correct Answer is : y=c1ex+c2e2x+12e3x

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

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

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

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

AAI ATC Junior Executive 2016 Shift 2 Paper

Question : 63 of 120

Marks: +1, -0

The solution of the differential equation

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

is given by

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