Solve Equations for Variable dp/dL with Expert Help

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  • Thread starter Thread starter samiwarraich
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Discussion Overview

The discussion revolves around solving equations for the variable dp/dL, with participants seeking assistance in manipulating and solving these equations, particularly those involving fractional powers of dp/dL. The scope includes mathematical reasoning and software application for solving equations.

Discussion Character

  • Technical explanation, Homework-related, Mathematical reasoning

Main Points Raised

  • One participant requests help in solving equations for dp/dL.
  • Another participant suggests isolating (dp/dL)^(1/B) in the equations and raising both sides to the B power as a method to solve them.
  • A participant confirms the need to solve both equations for dp/dL and asks for software recommendations to perform these operations.
  • Examples using Mathematica are provided, including specific code to solve for p'(L), but there is mention of difficulties with Wolfram Alpha understanding the command.
  • A participant inquires whether Matlab can be used for solving the equations and requests guidance on how to start with it.

Areas of Agreement / Disagreement

Participants generally agree on the need to solve the equations for dp/dL, but there are varying opinions on the methods and software to use for solving them. The discussion remains unresolved regarding the best approach and tools.

Contextual Notes

There are limitations in the discussion regarding the assumptions needed for the equations and the specific conditions under which the proposed methods would work. The effectiveness of the suggested software solutions is also not confirmed.

samiwarraich
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Can soView attachment 2339me one help to these equation for variable dp/dL
 

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Do you need to solve all of these for $dp/dl?$ The second one is straight-forward. For any of the equations with $(dp/dl)^{1/B}$, first isolate $(dp/dl)^{1/B}$ on one side of the equation, and then raise both sides to the $B$ power.
 
Ackbach said:
Do you need to solve all of these for $dp/dl?$ The second one is straight-forward. For any of the equations with $(dp/dl)^{1/B}$, first isolate $(dp/dl)^{1/B}$ on one side of the equation, and then raise both sides to the $B$ power.

YEs i need both equation to solve for dp/dL.Can you do this for me or tell me any software that can do this kind of operation
 
As an example, you can give Mathematica the following code, and it will solve the first one for $p'(L)$:

Code:
Solve[q==Pi((1/(2A) (p'[L])^(1/B)(B/(3B+1))((D/2)^((3B+1)/B)-Lambda^((3B+1)/B))-(C/3)((D/2)^3-Lambda^3))),p'[L]]

I tried it on Wolfram Alpha, but it didn't understand the command.
 
Ackbach said:
As an example, you can give Mathematica the following code, and it will solve the first one for $p'(L)$:

Code:
Solve[q==Pi((1/(2A) (p'[L])^(1/B)(B/(3B+1))((D/2)^((3B+1)/B)-Lambda^((3B+1)/B))-(C/3)((D/2)^3-Lambda^3))),p'[L]]

I tried it on Wolfram Alpha, but it didn't understand the command.

I have Matlab Installed can it be solved if yes then help me to start with
 

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