Question

How to solve y'=y+x(y')+2x I'm having trouble moving the y'. Thanks :)

Answer 1

I have tried subtracting xy' but that cancels out the y'

Answer 2

My teacher some how got
2(dy^2/dx)=(y+2x)/2

Answer 3

Sorry my teacher divided by 2 on bith sides

Answer 4

\[y' = y + x y' + 2x\]\[y' - x y' = y + 2x\]\[y'(1-x) = y+2x\]is that what you needed?

Answer 5

Okay thank you i was just thinking about it wrongly. This is what I needed thank you