Question

If dy/dx = 1+y and when x =0 , y=2, find y as a function of x

Answer 1

separate the variables, ie x & y, and integrate.

Answer 2

\[\frac{dy}{dx}=1+y\]
\[\frac{dy}{1+y}=dx\]
\[\frac{1}{1+y}dy=dx\]

Intergrate both sides and solve, don't forget your integration constant c, subsitute in your values for x and y, solve for c and rearrange for y in terms for x.

Do you need more help?

Answer 3

aahhhh i see! Completely forgot that you could do that.
Thank you @chaise and @IrishBoy123 :) !!

Answer 4

No problem, do you know how to integrate:

\[\frac{1}{1+y} dy\]

Answer 5

yeah that's just log (y+1) + c right?