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

Question

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

mimi_x3 · Answer

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

ajprincess · Answer

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

mimi_x3 · Answer

exact questions?

mimi_x3 · Answer

equations**

ajprincess · Answer

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

ajprincess · Answer

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

mimi_x3 · Answer

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

mimi_x3 · Answer

I'm confused..

yttrium · Answer

What math is this? >:D

mimi_x3 · Answer

differential equations.

yttrium · Answer

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

anonymous · Answer

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