Recent content by selzer9

I'm not sure how to solve this: du/dt = 3 \frac{d^{2}u}{dx^{2}} These are the conditions: u(0,t)= -1 u(pi,t)= 1 u(x,0) = -cos 7x Suggestion: I should use steady state solution to get a homogeneous initial condition. Starting with separtion of variables u(x,t) = G(x)H(t) And...

Y ⊂ X where X is a metric space with the function d. Prove that (Y,d) is a metric space with the same function d. The metric function d: X x X -> R. I know that the function for Y is: d* : Y x Y -> R How do I show that d is the same as d*.