Non-homogeneous Heat Equation Exercise 1

[@sanghyeonchang2600]

Hi, thank you for great explanation, but I have one question.
Why do we let w(x,0) = sin (pi*x/L) &v(x,0)= 0 whether than w(x,0)=0 & v(x,0)= sin (pi*x/L) ? Thank you

[@Emmyp202]

If you let v(x,0)=sin(pi*x/L) and w(x,0)=0 as you suggest, v(x,t) would be the same as u(x,t), so you would be at the starting point. You need to simplify the initial PDE equation into two different but simpler PDE equations (with their own boundary and initial conditions).

[@mahmoudsaleh9006]

thanks for ur lecture. but could you please provide me with non-homogeneous heat equation with Neumman boundary condtions ?

[@math.physics]

Thank you, in the future I will consider uploading new videos with non-homogeneous heat equation + Neumann boundary condtions.

[@elfabri666]

THANKS