# Linear Differential Equation in Strange Form

Gooolati

## Homework Statement

ydx - 4(x + y^6)dy = 0

## Homework Equations

Need to get into the form of dy$$/dx$$ + f(x)y = G(x)
(Standard Form)

## The Attempt at a Solution

ydx = 4(x + y^6)dy

y = 4(x + y^6) dy/dx

y$$/4(x + y^6)$$ = dy/dx

then I don't know how to get it in the Standard form
All help is appreciated, thanks!

## Answers and Replies

Homework Helper
You can't. That's not a linear equation to begin with ([itex]y^6[/tex] is not linear) and you can't just force it into "standard form" for a linear equation.

Gooolati
Oh I can see that now! I just wonder why it's in the Linear Equations section haha.

sagardip
See , sometimes in order to solve problems of this sort, we treat y as the independent variable and x as the dependent variable and convert it into a linear equation in the variable x.So now in place of dy/dx we have dx/dy and then we solve it using the integrating factor which in this case is 1/y.

pr0blumz
Try dx/dy -4/y*x = 4y^6