I'm really stuck on the following question and I feel like I'm simply not understanding something basic about the topic, but I can't figure out what that might be. Any help would be greatly appreciated.
The way I've tried to solve it was by writing:
V=102h - kh^0.5 +2t
Then finding that dh/dV = 1/100 - (2h^0.5)/k
And dV/dt = 2
I've also tried starting with dV/dt = 2 - kh^0.5
After that I just plug this into dh/dt = dh/dV * dV/dt
Either way I get a wrong answer.
Of course this method works perfectly if you assume that V=100h and therefore dh/dV = 1/100
But surely that can't be right, as dV/dt clearly suggests that there's more terms involved in the value of V. Not just 100h.
The correct answer is supposed to be (2-kh^0.5)/100.
How do I even begin with a problem like this?
Thank you in advance for your time and assistance.
Turn on thread page Beta
Find a differential equation for water escaping from a cuboid tank watch
- Thread Starter
Last edited by DeadManProp; 22-02-2018 at 23:36.
- 22-02-2018 23:06