|Dec28-12, 10:14 AM||#1|
How to integrate this partial differential equation
I have the following equation
where [itex]y[/itex] is a function of [itex]x[/itex] and [itex]m[/itex] is a function of [itex]y[/itex]. If I integrate this equation first with respect to [itex]y[/itex] should I get a function of [itex]x[/itex] as the constant of integration (say [itex]C\left(x\right)[/itex]) or it is just a constant? If it is a function, how can I then find its form (e.g. polynomial, etc.)? Should I use boundary conditions or I can decide about the form from inspecting the type of the equation.
|Dec28-12, 10:24 AM||#2|
Yes, you should have
And therefore you can solve it by
Which you can integrate.
|Dec28-12, 07:22 PM||#3|
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