Help with this differential equation

Hello,

Could anyone help me to solve question 1 from the attachement? I have tried a lot of things but I don't seem to be getting to the right answer, which is: t=16T/3

I also sent an attachement showing how I tried to get there.

Thank you very much.

Your attachments haven't been attached.

Thanks, it's fixed now =)

You shouldn't be doing anything with 3h0 until you've found A and k.

- The initial hight is h0. This means that when t = 0, h=h0
- The height doubles at time T. This means that the height will have changed from h0 to 2ho and so when t = T, h = 2h0

Substitute for both of these conditions to find A and k.