sir, At 21:15 you said you are taking C2=1. But at 22:15 you said that for each value of 'n' there will be 'n' arbitrary constants and so there are 'n' differential equations for each 'n'. Why isn't it so in the former case? Since in both equations (μ=nπ/b) and both have a form of d²Z/dz² ± μ²Z = O. Where Z is either X or Y, + sign for Y and - sign for X. Please help me understand this ASAP. Thank you
*I've just come to this video and let me answer this; provided that some other folks may get into the same thing also. Recall that, for each n, u_n(x,y) is the product of X_n(x) and Y_n(y). Constant in X_n(x) when multiplied by other constant in Y_n(y) will result in constant again, and it's arbitrary; so no problem if we take the constant in X_n(x) as arbitrary (e.g. A_n, B_n as at 22:15) and that in Y_n(y) as 1. Hope this helps :)
sir,
At 21:15 you said you are taking C2=1.
But at 22:15 you said that for each value of 'n' there will be 'n' arbitrary constants and so there are 'n' differential equations for each 'n'.
Why isn't it so in the former case?
Since in both equations (μ=nπ/b) and both have a form of
d²Z/dz² ± μ²Z = O.
Where Z is either X or Y, + sign for Y and - sign for X.
Please help me understand this ASAP.
Thank you
*I've just come to this video and let me answer this; provided that some other folks may get into the same thing also.
Recall that, for each n, u_n(x,y) is the product of X_n(x) and Y_n(y). Constant in X_n(x) when multiplied by other constant in Y_n(y) will result in constant again, and it's arbitrary; so no problem if we take the constant in X_n(x) as arbitrary (e.g. A_n, B_n as at 22:15) and that in Y_n(y) as 1.
Hope this helps :)
Can you please tell me how tough is this course? Actually I am registering for it. Can you help pls?
Maha maha faltu video .
Speak clearly