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Can W|A solve partial differential equations?

Posted 7 years ago

Hello, I know the topic sounds very generic, but I've got a specific case that seems to be problematic. I don't know if the issue lies in W|A not being able to solve the problem, or in me not understanding how to input the equations correctly.

I have a nonlinear PDE that I want to solve for ?. When I type: "solve f(x)??(x)/?x+?(x)(?f(x)/?x+?G/?)=-((?M^2)/?)BV*e^(-x)" it doesn't really give me any useful solution, but it seems to understand the syntax correctly.

I want to specify my f function and so I write: "solve f(x)??(x)/?x+?(x)(?f(x)/?x+?G/?)=-((?M^2)/?)BVe^(-x) where f(x)=A1+(A2+A3)e^(-2x)" or "solve f(x)??(x)/?x+?(x)(?f(x)/?x+?G/?)=-((?M^2)/?)BVe^(-x), f(x)=A1+(A2+A3)e^(-2x)" but now the site gives me no results at all, like it doesn't understand what has been written.

I have a Pro account, I purchased it precisely to get help with equations like this. Do I need to rewrite the problem in some way or is it impossible to compute using ths web app?

POSTED BY: Ewelina Ewelina
5 Replies
POSTED BY: Hans Dolhaine

I really appreciate your help, I cannot thank you enough! I am grateful that you kindly took the time to walk me throught the problem, it's very comprehensive. I didn't ask for or expect this kind of help, so it's a really nice surprise. Have a good day :)

POSTED BY: Ewelina Ewelina
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POSTED BY: Hans Dolhaine

Thank you very much!

I've got to admit, I am disappointed in not receiving the option to look into the step-by-step process. In truth I was very much hoping for a hint on how to solve this specific equation, rather than a straightforward answer.

But still, thank you!

POSTED BY: Ewelina Ewelina
Posted 7 years ago

WolframAlpha doesn't appear to support user named functions. Uppercase variable names sometimes also cause problems. There is also a line length limit that sometimes requires a bit of skill in dividing a problem into parts or by solving problems one stage at a time. It does support a subset of Mathematica notation and at times this has let me solve problems that I couldn't otherwise find a way to explain to WolframAlpha

DSolve[(a1+(a2+a3)E^(-2x))?'[x]+?[x](D[a1+(a2+a3)E^(-2x),x]+? g/?)== -(? m^2/?)b v*E^-x ,?,x]

or

WA link

returns a complicated exact solution. You might be able to see something in that or might be able to simplify that.

POSTED BY: Bill Nelson
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