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April 16th, 2014, 11:29 AM   #1
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Solve equation

Could any one help me to solve these equation for variable dp/dL
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April 16th, 2014, 08:47 PM   #2
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Quote:
Originally Posted by samiwarraich View Post
Could any one help me to solve these equation for variable dp/dL
dp/dL is not a "variable": make it x = dp/dL. Let's try your 1st one.

Since we're solving for x, then all the other terms (not containing x) can
be simplified to single variables, since they're assumed to be givens.
I'll be using p for pi and y for your "funny looking Constant!" symbol. Also:
u = b/(3b+1)
v = (d/2)^[(3b+1)/b] - y^[(3b+1)/b]
w = c/3[(d/2)^3] - y^3

So equation becomes:
q/p = uv[x / (2a)]^(1/b) - w

uv[x / (2a)]^(1/b) = q/p + w

[x / (2a)]^(1/b) = (q + pw) /(puv)

x / (2a) = [(q + pw) /(puv)]^b

x = 2a[(q + pw) /(puv)]^b

CHECK for typos!
If you don't like this method, then try your own.

Hope you can do the other 2.
2nd one is quite easy, right?
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April 17th, 2014, 04:16 AM   #3
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It's an italic lower-case lambda.
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April 17th, 2014, 05:42 AM   #4
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Quote:
Originally Posted by skipjack View Post
It's an italic lower-case lambda.
I hate it anyway
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