how to solve $\displaystyle y''+(4i+1)y'+y=0$?

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- Oct 25th 2009, 08:47 AMiloveyou7how to solve y''+(4i+1)y'+y=0?
how to solve $\displaystyle y''+(4i+1)y'+y=0$?

- Oct 25th 2009, 09:12 AMCaptainBlack

The same way you solve any linear constant coefficient homogeneous equation. Use a trial solution of the form $\displaystyle y(x)=e^{\lambda x}$ get the characteristic equation which you solve, then the general solution is a linear combination of the solutions found this way (with the usual caveats for double roots).

CB