Correct Solution to the Differential Equation?

[mcintyre_ie]

Hey,
I'd appreciate any help you can give with this question – I've already tried it but I don’t think my solution is correct. Any advice on where (or if) I went wrong?
Thanks in advance

The Question:
Solve the differential equation:

2x(1+y) dx/dy = 8 + x^2
if x = 2 when y = 3

My solution:
Solution
(Revised link)

 

[himanshu121]

The link doesn't allow me to access Still
u have
2x(1+y)dx/dy=8+x^2
It requires rearrangement

so u have
$$\frac{2x}{8+x^2}dx=\frac{dy}{1+y}$$
Hope u will take it from here

 

[mcintyre_ie]

Sorry about the bad link, i think I've fixed it now though.

 

[himanshu121]

Yup it is correct