Stumped? Need Help with PDE Problem - Sarah Needs a Hand!

  • Thread starter sarahisme
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In summary, the conversation discusses a problem that the speaker is having trouble solving, as they cannot find any similar examples. They share their attempted solution and ask for input on a good first step to take. The speaker then explains their method of differentiating u(x,y) to get A(u), but expresses concern about its simplicity without using any knowledge of PDEs.
  • #1
sarahisme
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hmmm i have no idea where to even start with this problem, i cannot find any examples that are similar or anything like that anywhere!

http://img147.imageshack.us/img147/2319/picture18ur9.png [Broken]

anyone got an idea as to a good first step to take?

thanks

sarah :)

edit: i tryed something wild and came up with http://img470.imageshack.us/img470/7415/picture22tm5.png [Broken] but i didnt use any knowlage of PDE's to work that out...hmmm... :S
 
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  • #2
sarahisme said:
hmmm i have no idea where to even start with this problem, i cannot find any examples that are similar or anything like that anywhere!

http://img147.imageshack.us/img147/2319/picture18ur9.png [Broken]

anyone got an idea as to a good first step to take?

thanks

sarah :)

edit: i tryed something wild and came up with http://img470.imageshack.us/img470/7415/picture22tm5.png [Broken] but i didnt use any knowlage of PDE's to work that out...hmmm... :S

how did you get your answer??
 
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  • #3
stunner5000pt said:
how did you get your answer??
i just differentiated u(x,y) with respect to x then respect to y and that gave me A(u)

but doesn't that seem to simple? i mean, there is no PDE stuff involved really... :S
 

1. What is a PDE problem?

A PDE (partial differential equation) problem is a mathematical problem that involves finding a function that satisfies a given set of partial differential equations. These equations involve multiple variables and their partial derivatives.

2. Who is Sarah and why does she need help with a PDE problem?

Sarah is a fictional character used in a hypothetical scenario to illustrate a PDE problem. She needs help with the problem because it may be complex and require specialized knowledge in mathematics and physics.

3. What are some common techniques for solving PDE problems?

Some common techniques for solving PDE problems include separation of variables, method of characteristics, finite difference methods, and Fourier transforms. The specific technique used depends on the type of PDE and the boundary conditions.

4. Are PDE problems only used in scientific research?

No, PDE problems have applications in various fields such as physics, engineering, economics, and biology. They are also used in practical problems, such as modeling heat transfer in a building or predicting the stock market.

5. Is it possible to solve a PDE problem analytically?

It depends on the specific PDE and its boundary conditions. Some PDEs have known analytical solutions, while others require numerical methods for approximate solutions. In general, linear PDEs are easier to solve analytically compared to nonlinear ones.

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