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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^{y1+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
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