# Euler's Method With Mass Balance o.d.e's

1. Oct 22, 2009

### Sam223344

Hi

I'm doing a practice paper for a past mathematical modelling exam. I've attached the problem

What I'm having trouble with is simplifying the equations and variables into a differential equation that is solvable with Euler's Method.

What I have currently is the sqrt(h1-h2) in the equation which leads to an imaginary number so I don't think I have done it correctly. ( As h1<h2..I think the diagram is also misleading)

If someone could help me out with getting the right equation I should(hopefully) be able to do the next part.

Thanks

I'm posting this is another forum as well, need help asap.

P.S the second question doesnt need to be attached, it is:
Use Euler's method to make a single step to predict the levels in both tanks after 5 seconds.

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Last edited: Oct 22, 2009
2. Oct 22, 2009

### Sam223344

Euler's Method With Mass Balance o.d.es

I'm doing a practice paper for a past mathematical modelling exam. I've attached the problem

What I'm having trouble with is simplifying the equations and variables into a differential equation that is solvable with Euler's Method.

What I have currently is the sqrt(h1-h2) in the equation which leads to an imaginary number so I don't think I have done it correctly. ( As h1<h2..I think the diagram is also misleading)

If someone could help me out with getting the right equation I should(hopefully) be able to do the next part.

Thanks

I also posted this is the differential equation forum but with only 6 people viewing...

#### Attached Files:

• ###### Quest1.jpg
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31.4 KB
Views:
98
3. Oct 23, 2009

### Sam223344

Re: Euler's Method With Mass Balance o.d.es

This is what I have but its the square root of a negative number that is confusing me

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