# how to solve y''+(4i+1)y'+y=0?

• October 25th 2009, 08:47 AM
iloveyou7
how to solve y''+(4i+1)y'+y=0?
how to solve $y''+(4i+1)y'+y=0$?
• October 25th 2009, 09:12 AM
CaptainBlack
Quote:

Originally Posted by iloveyou7
how to solve $y''+(4i+1)y'+y=0$?

The same way you solve any linear constant coefficient homogeneous equation. Use a trial solution of the form $y(x)=e^{\lambda x}$ 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