I'm trying to solve a second order ODE in the form of Ay''+By'+1=0. This is part of a genetics problem I have, but I haven't taken DiffEq in a very long time and can't quite remember how to go about solving this. Can anyone help?

Thanks!

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- Oct 7th 2012, 08:26 PMmhguo1Solving second order ODE
I'm trying to solve a second order ODE in the form of Ay''+By'+1=0. This is part of a genetics problem I have, but I haven't taken DiffEq in a very long time and can't quite remember how to go about solving this. Can anyone help?

Thanks! - Oct 7th 2012, 09:18 PMMaxJasperRe: Solving second order ODE
- Oct 7th 2012, 09:59 PMJJacquelinRe: Solving second order ODE
- Oct 7th 2012, 10:03 PMMarkFLRe: Solving second order ODE
I would write the ODE as follows:

The characteristic roots are:

and so the homogeneous solution is:

I would next assume a particular solution of the form:

Now, we may use the method of undetermined coefficients to find :

and so:

and we have:

By superposition, we now may write the general solution:

- Oct 8th 2012, 03:42 PMmhguo1Re: Solving second order ODE
Great, thanks for everyone's help!