Question

A separable differential equation is a first-order differential equation that can be algebraically manipulated to look like:


A) f(y)dy = g(x)dx
B) f(x)dx + f(y)dy
C) g(y)dx = f(x)dx
D) f(x)dx = f(y)dy
E) Both f(y)dy = g(x)dx and f(x)dx = f(y)dy

Answer 1

separation or variables mean to get your x's dx on one side and your y's dy on the other

Answer 2

which one says that

Answer 3

E

Answer 4

E?

Answer 5

Yes

Answer 6

E=A+D :)

Answer 7

It was actually A. thanks anyway. :)

Answer 8

yes E because in both case, we have a differential equation in form f(y)dy/dx=g(x) a f(x)dx/dy=g(y) and both can be algebraically manipulated to become f(y)dy=g(x)dx and f(x)dx=g(y)dy

Answer 9

You can have f(*)=*^2
f(x)=x^2
f(y)=y^2

x^2 dx=y^2 dy this is still done by separation or variables
it is totally E

Answer 10

I submitted the answer and the computer program told me A. you want to see there explanation? here you go:

Answer 11

Yeah, either the program is wrong or you copied the options incorrectly. E is definitely right.

Answer 12

I guess so.....

Answer 13

although f(x)dx=f(y)dy is a very specific equation

Answer 14

If it said all first order equations that are separable can be written in the form
A) f(y)dy = g(x)dx
B) f(x)dx + f(y)dy
C) g(y)dx = f(x)dx
D) f(x)dx = f(y)dy
E) Both f(y)dy = g(x)dx and f(x)dx = f(y)dy

I would have said A

But it said "a"