# Math Help - non linear differential equation help please

1. ## non linear differential equation help please

hi i have a separable integration which i have worked out.

as y+ (1/y)= t+ c

from here i need to get the equation in terms of y(t) and i know this is really simple i jus dont know why i am unable to do this...

PLEASE HELP

2. Originally Posted by lat87
hi i have a separable integration which i have worked out.

as y+ (1/y)= t+ c

from here i need to get the equation in terms of y(t) and i know this is really simple i jus dont know why i am unable to do this...

PLEASE HELP
Multiply both sides by y:

$y^2 + 1 = (t + C)y \Rightarrow y^2 - (t + C)y + 1 = 0$.

Now solve for y using the quadratic formula.