Top Definition

A first order ordinary differential equation - that is, an equation that relates a function of one variable and it's first derivative in some way.

"Why Elwood, how do I find the solution to dy/dx = y/x?"

"Well that's a simple matter, Eleanor, though I know not why a woman such as yourself would have an interest in maths. That is an example of a separable first order ordinary differential equation, or separable FOODE. Rearrange to get (1/y)dy = (1/x)dx, and integrate both sides to get lny = lnx + c. You may then solve for y, yielding y = xexp(c), where c is an arbitrary constant of integration. Noting exp(c) is itself an arbitrary constant, you may simplify to y = kx. So dy/dx in that differential equation is the derivative of any straight line that passes through the origin."

"Gadzooks! It is far more elementary than I at first had imagined. Now let us get in this motor coach and ride blissfully towards the sunset."

"Well that's a simple matter, Eleanor, though I know not why a woman such as yourself would have an interest in maths. That is an example of a separable first order ordinary differential equation, or separable FOODE. Rearrange to get (1/y)dy = (1/x)dx, and integrate both sides to get lny = lnx + c. You may then solve for y, yielding y = xexp(c), where c is an arbitrary constant of integration. Noting exp(c) is itself an arbitrary constant, you may simplify to y = kx. So dy/dx in that differential equation is the derivative of any straight line that passes through the origin."

"Gadzooks! It is far more elementary than I at first had imagined. Now let us get in this motor coach and ride blissfully towards the sunset."

by Ancestral
January 08, 2010

Trending Now

Can you define these popular missing words?

2

A foode is a foode nude/food pic. If your eating something delicious u must take foodes immediately, or else you'll get bad luck for the next 25 years and you'll go broke.

u eating fries, daaamn u betta send Ella a foode

by Foodlord
September 28, 2015

3

1 - when someone says something really really stupid

2 - when you see a literature word that you dont know

3 - when someone is lame

2 - when you see a literature word that you dont know

3 - when someone is lame

(1) Bob: I love eggs!

Billy Bob: Man, that was foode!

(2) Bob: What's the answer?

Billy Bob: Must be foode!

Bob: Oh hey, it's right! Thanks Billy!

Billy Bob: Man, it's all in the foode

(3) Bob: Hahahahaha I SUCK EGGS!

Billy Bob: Man, that sh** was foode!!!!! Shut yo foode a** up!

Billy Bob: Man, that was foode!

(2) Bob: What's the answer?

Billy Bob: Must be foode!

Bob: Oh hey, it's right! Thanks Billy!

Billy Bob: Man, it's all in the foode

(3) Bob: Hahahahaha I SUCK EGGS!

Billy Bob: Man, that sh** was foode!!!!! Shut yo foode a** up!

by Zxenu
April 12, 2007