Let a be the last digit of your ID number. All the calculations below should be...

 

Transcribed Image Text:

Let a be the last digit of your ID number. All the calculations below should be carried out with the actual numerical value of a and not with keeping it as a parameter. Solve the following Laplace problem: [u+u = 0, 0<x<1, 0<y<2 u(0, y)=(a-2) sin(zy), 0≤ y ≤2 u(1,y)=(a-3) sin(3ry)-(a-5) sin(y), 0≤ y ≤2 u(x,0)=0, 0≤x≤l u(x,2)=0, 0≤x≤l Let a be the last digit of your ID number. All the calculations below should be carried out with the actual numerical value of a and not with keeping it as a parameter. Solve the following Laplace problem: [u+u = 0, 0<x<1, 0<y<2 u(0, y)=(a-2) sin(zy), 0≤ y ≤2 u(1,y)=(a-3) sin(3ry)-(a-5) sin(y), 0≤ y ≤2 u(x,0)=0, 0≤x≤l u(x,2)=0, 0≤x≤l

Answer rating: 100% (QA)

To solve the given Laplace problem we will use the method of separation of variables and assume a solution of the form Ux y XxYy Substituting this int... View the full answer