Question

find the equation of the curve passing through the point (0,2) and having the gradient e^x at p(x,y).

Answer 1

\[y=e^{x }+1\]

Answer 2

Let me wright you how...

Answer 3

it is right but how can you tell me in detail

Answer 4

\[\frac{ dy }{ dx }=e^{x}\]\[dy = e^{x}.dx\]\[\int\limits dy = \int\limits e^{x}.dx\]\[y = e^{x}+c\]But it passes through (0, 2) ; thus c = 1
finally\[y=e^{x} + 1\]

Answer 5

Do you get it?

Answer 6

yes

Answer 7

thanks