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PDE separation of variable problem

  • Thread starter JamesGoh
  • Start date
  • #1
143
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Homework Statement



Using the method of separation of variables, obtain a solution of the following PDE subject to
the given conditions

[itex]\frac{du}{dx}+y\frac{du}{dy}=(2x+y)u[/itex]

[itex]u(x,1)=5e^{x^{2}-x}[/itex]


Homework Equations





The Attempt at a Solution



See my attached working

the answer is [itex]u(x,y)=5ye^{y-1+x^{2}-x}[/itex]

Im not sure if Im getting anywhere near close in my working out. Have double checked the arithemetic and everything seems fine so far

Homework Statement





Homework Equations





The Attempt at a Solution

 

Attachments

Answers and Replies

  • #2
143
0
hi guys

an update on the problem. I managed to solve it.

The issue was that I didn't consider the arbirtrary integration constant, C, when doing the integral of the Y term.
 

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