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Second Order Differential Equation

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Solve a second order differential equation with RHS equal to zero. See attached file for full problem description.

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Solution describes the method of solving a second order differential equation.

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Solving second order differential equation

Find the general solution of the second order differential equation y'' - y' - 6y = e^-3x

This one is quite long winded, and I am pretty sure that I am getting yh right but can't seem to get close to yp. I think this is a D.R.A.E?

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