Particular Integral

**jpquinn91** · May 14th 2010, 04:58 AM

I have $d^2x/dt^2+2dx/dt-2=e^(-t)$ and I have found CF = $A+Be^(-2t)$

I need to find the PI, usually I differentiate everything until you have a constant on the right or with an exp I would set $x= e^(-t)v(t)$ but neither seems to work, could someone help me with the method, thanks

**ANDS!** · May 14th 2010, 04:00 PM

Your guess for a particular solution is incorrect. What is the homogenous solution to: $x''+2x'=e^{-t}+2$ ?

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