- #1
gingermom
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Homework Statement
A separable differential equation is a first-order differential equation that can be algebraically manipulated to look like:
a. f(x)dx +f(y)dx
b. f(y)dy = g(x)dx
c. f(x)dx = f(y)dy
d. g(y)dx = f(x)dx
e. both f(y)dy=g(x)dx and f(x)dx = f(y)dy
Homework Equations
The Attempt at a Solution
B is the way it is defined in the book so I assume that is the answer, but "e" gave me pause. I feel like the two equations in "e" are not the same but I can not explain why they are different. I have the feeling knowing that would help fill in some of the pieces between memorizing how to do this stuff and really understanding it. Then again if I am off and the answer may be "e". Can anyone shed some light?