Question

If y'= x(1 + y) and y > -1 , then y =
(see attachment)

Answer 1

i have to seperate the variables right?

Answer 2

Rewrite it as dy/dx = x(1+y)
Then multiply both sides by dx, then divide by (1 + y) you will get
dy/(1+y) = xdx.
Yeah, separate the variables and then integrate :-)

Answer 3

ok

Answer 4

ok i got it... its Ce^1/2x^2 -1

Answer 5

Correct :-)

Answer 6

thank you. you rock!