How to approach this diff-EQ? (x^3+ xy^2 + y)dx - xdy = 0

[yousuf402]

How would one go about doing this and which method would you use to do this differential equation?

Solve completely: (x^3+ xy^2 + y)dx - xdy =0

 

[Deleted member 4993]

How would one go about doing this and which method would you use to do this differential equation?

Solve completely: (x^3+ xy^2 + y)dx - xdy =0

Did you try substitution:

u = x/y

 

[yousuf402]

Did you try substitution:

u = x/y

I don't think that would work. I tried using integrating factors found by inspection.

I get the answer x dx= (xdy - ydx)/(x^2 + y^2) I am unsure of what to do after this.

 

[niemietz]

I too want to know answer.I was weak in trignometry when i was weak,later i picked up myself.

 

[stapel]

I too want to know answer.

Please reply showing your efforts so far. Thank you!