Obtain the general solution of a non-homogeneous ode

Obtain the general solution of a non-homogeneous ODE y'''+2y''-5y'-6y=100e^3x + 18e^-x. Verify your solutions using MATLAB.

y=yh+yp = c1e^x + c2e^2x+c3e^3x + (7+10x)e^3x + (1/2 -3x)e^-x

y=yh+yp = c1e^-x + c2e^2x + c3e^-3x + (7+10x)e^3x + (1/2-3x)e^-x

y=yh+yp = c1e^-x + c2e^2x + c3e^-3x + (7+10x)e^3x + (1/2 - 3x)e^x

y=yh+yp = c1e^-x + c2e^2x + c3e^-3x + (10+7x)e^-3x + (1/2 +3x)e^-x

Keep trying to figure this and not coming up with the correct solution. Could someone work it out please?

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