- #1
Juggler123
- 83
- 0
Hi all,
I have an ODE of the form
[itex]\frac{d^{3}\psi}{d\xi^{3}}-A\left(\psi+\xi\frac{d\psi}{d\xi}\right)=0,[/itex]
where [itex]\psi=C_{1}U(\xi)+C_{2}V(\xi).[/itex]
Is there any transformation or inventive manipulation I can use here to obtain an ODE for [itex]\sigma=U(\xi)+V(\xi)[/itex]? As this is the quantity I would like to solve for.
Thanks.
I have an ODE of the form
[itex]\frac{d^{3}\psi}{d\xi^{3}}-A\left(\psi+\xi\frac{d\psi}{d\xi}\right)=0,[/itex]
where [itex]\psi=C_{1}U(\xi)+C_{2}V(\xi).[/itex]
Is there any transformation or inventive manipulation I can use here to obtain an ODE for [itex]\sigma=U(\xi)+V(\xi)[/itex]? As this is the quantity I would like to solve for.
Thanks.