- #1
member 428835
Hi PF!
What physics does this BVP represent:
$$u''(x) = -\lambda u(x) : u(0)=u(1) = 0$$
Also, I know a general solution is ##u = \sum_{n=1} c_n \sin(n\pi x)##. There is no way of determining ##c_n##; does that mean this problem is ill-posed? I ask about the physics because I'm wondering if there is another equation (depending on what physics this is) that could close the problem.
What physics does this BVP represent:
$$u''(x) = -\lambda u(x) : u(0)=u(1) = 0$$
Also, I know a general solution is ##u = \sum_{n=1} c_n \sin(n\pi x)##. There is no way of determining ##c_n##; does that mean this problem is ill-posed? I ask about the physics because I'm wondering if there is another equation (depending on what physics this is) that could close the problem.