Question

Pls help:)
\[\frac{dy}{dx}=xy+x+y+1\]
Change this D.E into homogeneous form.

Answer 1

\[\frac{dy}{dx} = xy + y + x + 1\]
\[\frac{dy}{dx} = y( x + 1) + (x+1)\]
\[\frac{dy}{dx} = (x+1)(y+1)\]
\[\frac{dy}{dx} * \frac{1}{(y+1)} = (x+1)\]
then integrate both sides?

Answer 2

ya by this way we can do it. and I already did it. what I want is to convert that equation in the form
M(x,y)dx+N(x,y)dy=0. Is it possible @mimi_x3

Answer 3

exact questions?

Answer 4

equations**

Answer 5

homogeneous eqns in the form
dy/dx=f(y/x)

Answer 6

in some books homogeneous eqns form is given as
M(x,y)dx+N(x,y)dy=0 that's y first gav that form

Answer 7

you want to use \[ u = \frac{y}{x}\] then convert it into exact equations?
\(M(x,y)dx + N(x,y)dy=0\) <= exact equation

Answer 8

I'm confused..

Answer 9

What math is this? >:D

Answer 10

differential equations.

Answer 11

Oh no, I'm not taking up this yet. HAHA. Teach me! :D