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Graduate Solving PDE Using Method of Separation of Variables: Complete Guide
Got it! Thank you very much~~!- hbl2012
- Post #3
- Forum: Differential Equations
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Graduate Solving PDE Using Method of Separation of Variables: Complete Guide
I'm new here, hope it is the right place to ask the question. The PDE question is ∂2u/∂x2+∂2u/∂y2=0 and u(x,0)=f(x), u(x,1)=0, u(0,y)=0, u(1,y)=0. I use the method of separate the variables, with is let u(x,y)=X(x)Y(y) and get X''/X+Y''/Y=0. Then let X''/X=-Y''/Y=-λ, i.e. X''+λX=0...- hbl2012
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- Pde
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- Forum: Differential Equations