2nd Order ODE,Homogeneous,Non-Constant Coeff.

  • #1

Main Question or Discussion Point

Hi,

I am trying to guess the solution for this i am sure the solution involves a ln(x) so that i can reduce the order to find the general solution but i just cant seem to find it... any suggestions ??

[tex]\[
(c_{o}+xk)y''+ky'=0\][/tex]

with ths usual boundary conditions
[tex]\[y\left(0\right)=y_{0}\qquad y\left(l\right)=y_{l}\]
[/tex]

c and k are constants and they are related
here is the relation if it is of any additional help...
[tex]\[
\frac{c_{l}-c_{o}}{l}=k\][/tex]

thanks a lot :)
 

Answers and Replies

  • #2
phew after some hits and misses got it finally :)

[tex]\[
y=ln\left(c_{o}+xk\right)\][/tex]

seems to solve the equation...
 

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