\text{DE:}\quad u_t+u_{xx}=1 \qquad 0\leq x\leq \pi
ah got it thanks.
i have so many variations of the same types of questions, i think I'm getting the hang of them now, though i haven't gotten one answer fully correct yet.
Thanks for the link Saltydog.
Thats exactly what i spent an hour looking for and couldn't find.. a simple runthrough of the procedure for solving the problem. Much appreciated.
I've got latex on the computer here but never used it. I'll see if I can import a Mathematica image to show you a...
Hi, I'm not sure how to solve problems of this form:
Uxx - Ut = h(x,t)
where Uxx is second derivative of U(x,t) wrt x and Ut is first derivative of U(x,t) wrt t.
Boundary conditions are as follows:
U(0,t)=U(a,t)=U(x,0)=0
and h(x,t) is a fairly simple function, or even constant, say h=1...
my understanding is it refers to the frequency at which an object will naturally oscillate when provoked.
eg. hit the wine glass and the tone you hear will be its natural frequency.
better example is a tuning fork. bash it against anything and it will resonate at its natural frequency allowing...
Thanks dexter.
I hadn't seen either of those before. All I've got is some illegible notes to work from. I understand the first one now but what exactly is that on the right hand side in the second one? And what do the i's and j's represent?
That, unfortunately, is half the problem.
x(t) is undefined so I don't even have an example to work with.
I was hoping someone would have come across problems like this before, and would know the general form of how to solve them.
If it helps at all this is to solve an Euler-Lagrange problem.
Hi there
I'm working with some derivatives which I am having a lot of trouble with.
Here are the 2 forms I'm stuck on:
(1) d/dx (x')^2 , where x is a function of t and x' is the first derivative of x with respect to t.
(2) d/dx' (x) , same conditions as above, never seen one of...