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Problem #2: Use separation of variables with λ = 36 to find a product solution to the...

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Basic Math

Problem #2:
Use separation of variables with λ = 36 to find aproduct solution to the following partial differentialequation,

y
∂2u
∂x2
 +  
∂u
∂y
 =  0

that also satisfies the conditions u(0, 0) = 9 andux(0, 0) = 4.

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