How do I write this?

nicksauce

I have a solution for a PDE

[tex]U(x,t)=y^2e^{-3x} + h(x)[/tex]

Where h(x) is any function such that h(0) = 1

What notation can I use for this clause on h(x)?

My guess is:
[tex]h(x)\in \{f(x)|f(0)=1\}[/tex]

Does that make sense?

arildno

Sure, it's a fancy-pants way of putting it.

nicksauce

I like doing things the fancy-pants way

DeadWolfe

Well if you want to be fancy pants, you might well want to mention what sort of hypotheses are needed on h, ie there probably should be some differentiability condition.

nicksauce

True; is there a symbolic way to write 'continuous'?

axeae

[tex] \text{yeah, if } f(x) \text{ is continuous on an interval } [a,b] \text{ then } f(x) \in C[a,b] [/tex]

HallsofIvy

I am just a tiny bit concerned that your formula,
[tex]U(x,t)=y^2e^{-3x} + h(x)[/tex]
has U(x,t) on the left but a "y" and no "t" on the right!

nicksauce

Lol woops, should be U(x,y)

axeae

off topic but does anyone know why my latex doesnt work? i tried doing it with a bunch of little [tex] and no \text but that didnt work, so i tried what i have now and just gave up and left it like that.

nicksauce

Try using \textnormal

[tex]\textnormal{This is a test}[/tex]

bomba923

You do not need \textnormal
Simply finish with "/tex", not with "\tex", between the brackets

axeae

oh wow, i guess ive been doing latex so much i forgot not everything else uses \ instead of /