# How do I write this?

#### nicksauce

Science Advisor
Homework Helper
I have a solution for a PDE

$$U(x,t)=y^2e^{-3x} + h(x)$$

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:
$$h(x)\in \{f(x)|f(0)=1\}$$

Does that make sense?

#### arildno

Science Advisor
Homework Helper
Gold Member
Dearly Missed
Sure, it's a fancy-pants way of putting it.

#### nicksauce

Science Advisor
Homework Helper
Sure, it's a fancy-pants way of putting it.
I like doing things the fancy-pants way :tongue:

#### 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

Science Advisor
Homework Helper
True; is there a symbolic way to write 'continuous'?

#### axeae

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

Last edited:

#### HallsofIvy

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

#### nicksauce

Science Advisor
Homework Helper
I am just a tiny bit concerned that your formula,
$$U(x,t)=y^2e^{-3x} + h(x)$$
has U(x,t) on the left but a "y" and no "t" on the right!
Lol woops, should be U(x,y)

#### bomba923

You do not need \textnormal
[tex] \text{yeah, if } f(x) \text{ is continuous on an interval } [a,b] \text{ then } f(x) \in C[a,b] [\tex]
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 /

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