Question

dy/dx=(x+y)/(x-y) find differential equations find C
HELP !!!

Answer 1

ehh? Solve the differential equation, you mean?

Answer 2

\[\Large \frac{\color{blue}{dy}}{\color{red}{dx}}=\frac{x+y}{x-y}\]

Answer 3

We can mainpulate algebraically, as such:
\[\Large (x+y)\color{red}{dx}- (x-y)\color{blue}{dy}=0\]

Answer 4

Here, we can make a substitution:
Let
\[\Large y = vx\]
So that
\[\Large \color{blue}{dy}=v\color{red}{dx}+ x\color{green}{dv}\]

Answer 5

Can you continue?

Answer 6

that was a colorful answer @terenzreignz :")

Answer 7

Who doesn't like colours? :D

Answer 8

Makes it easier to see the differentials. Otherwise, they're just all over the place and make you dizzy.

Answer 9

true :D