PRE-CALCULUS QUESTIOn???????????????????

Question

solve the following equations for y'

a. xy' + y =1+ y'
b.2x + 2xy' + 2y + 3y^2y' = 0
c.x/y' + y = 5/y'

please please help

Answer 1

a. xy' + y =1+ y'
y'(x-1)=1-y

y'=(1-y)/(x-1)

b.2x + 2xy' + 2y + 3y^2y' = 0
y' (2x+3y^2)=-2x-2y

y'=(-2x-2y)/(2x+3y^2)


c.x/y' + y = 5/y'

(1/y') (x-5)=-y

1/y'=-y/(x-5)

y'=(x-5) / -y