Question

show that any equation of the form f(x) dx + g(y) dy = 0 is exact

Answer 1

why can't I just use reverse product rule? that outta show it but when I do f(x)g(y) I get the following result: f(x) g(y)dy + g(y) f(x) dx

Answer 2

oh any equation like...2 dx + 5 dy = 0 that's like 2x+2y =c. . .

Answer 3

@experimentX

Answer 4

f(x) dx + g(y) dy <-- this is just plain separation of variables.

Answer 5

yeah but how to show that any equation in that formation is an exact equation...I did reverse product rules when I solve them

Answer 6

do you understand how you get an exact equation ... ?

Answer 7

*know

Answer 8

first you should know what is the source of equation.