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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 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?

 April 17th, 2014, 04:16 AM #3 Global Moderator   Joined: Dec 2006 Posts: 21,034 Thanks: 2271 It's an italic lower-case lambda.
April 17th, 2014, 05:42 AM   #4
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Quote:
 Originally Posted by skipjack It's an italic lower-case lambda.
I hate it anyway

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