Solving for dp/dL in these equations

[samiwarraich]

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

 

[Ackbach]

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.

 

[samiwarraich]

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

 

[Ackbach]

As an example, you can give Mathematica the following code, and it will solve the first one for $p'(L)$:

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.

 

[samiwarraich]

As an example, you can give Mathematica the following code, and it will solve the first one for $p'(L)$:

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