Solve Equations for Variable dp/dL with Expert Help

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SUMMARY

This discussion focuses on solving equations for the variable dp/dL, specifically using Mathematica and MATLAB. Users are advised to isolate (dp/dL)^(1/B) in the equations and raise both sides to the B power for simplification. The provided Mathematica code demonstrates how to solve for p'(L) using the Solve function. Additionally, users inquire about the capabilities of MATLAB for similar operations, indicating a need for guidance on starting with MATLAB for this purpose.

PREREQUISITES
  • Understanding of differential equations and their variables
  • Familiarity with Mathematica syntax and functions
  • Basic knowledge of MATLAB programming
  • Concept of isolating variables in algebraic equations
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  • Learn how to use the Solve function in Mathematica for differential equations
  • Explore MATLAB's symbolic toolbox for solving equations
  • Research methods for isolating variables in algebraic expressions
  • Study the implications of raising equations to a power in algebra
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Mathematicians, engineers, and students who need to solve complex differential equations, particularly those using Mathematica or MATLAB for computational solutions.

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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