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Topic review (newest first)
- bob bundy
- 2012-09-28 16:39:20
hi Graeme92
You've been given enough information to substitute in and work out the constants, C and D. So the 'solution' will be a formula for calculating h, given any value for x.
Bob
- Graeme92
- 2012-09-28 10:01:10
Thanks again Bob, but how do you solve for h?
- bob bundy
- 2012-09-28 02:16:08
hi Graeme92
Actually all integration is like question 2!
eg.
Splitting the derivative like this is used a lot in differential equations.
You only need to introduce a constant of integration on one side as a constant on each side could be replaced by just one.
Bob
- Graeme92
- 2012-09-28 00:21:59
Thank you for this, Bob. Can you give me a reference for the second question, and I am not sure about "F".
- bob bundy
- 2012-09-27 17:01:39
hi Graeme92
Welcome to the forum.
If N is a number
Then you can substitute in the given values to determine C and D.
The second question starts the same but you might be wondering what to do with
where F is the function after the first integration.
You can think of this as
Post again if you need more detail.
Bob
- Graeme92
- 2012-09-27 12:53:53
2nd order differential equation
Find the analytic solution for this equation in terms of two constants by integrating twice.
d/dx(h * dh/dx) = 0
h(0) = 40 ; h(10000) = 40
- Graeme92
- 2012-09-27 12:50:12
Find the analytic solution for this equation in terms of two constants by integrating twice.
d²h/dx² = -R/K = 2 x 10-5
h(0) = 1000 ; h(10000) = 1000