- #1
paul143
- 10
- 0
Hi~
I'm having trouble with solving a certain differential equation.
x2y'' + x y'+(k2x2-1)y = 0
I'm tasked to find a solution that satisfies the boundary conditions: y(0)=0 and y(1)=0
I have tried solving this using the characteristic equation, but i arrived at a solution that is unable to satisfy the boundary conditions except for when y(x)=0 (which is trivial).
Any pointers on how i should go about this?
Actually, i am trying to find the Green's function for this differential equation, which is why I need the solution to the said equation first. Thanks so much for any help :)
I'm having trouble with solving a certain differential equation.
x2y'' + x y'+(k2x2-1)y = 0
I'm tasked to find a solution that satisfies the boundary conditions: y(0)=0 and y(1)=0
I have tried solving this using the characteristic equation, but i arrived at a solution that is unable to satisfy the boundary conditions except for when y(x)=0 (which is trivial).
Any pointers on how i should go about this?
Actually, i am trying to find the Green's function for this differential equation, which is why I need the solution to the said equation first. Thanks so much for any help :)