Solution for Expressing Derivatives in Terms of u

[gtfitzpatrick]

cos$$\theta$$ = 1 when $$\theta$$ = 0

so that gives r = x, the initial condition?

 

[fzero]

cos$$\theta$$ = 1 when $$\theta$$ = 0

so that gives r = x, the initial condition?

The initial condition was $$u(x,0)=0$$, which we found was equivalent to $$w(r,\theta)=0$$. The fact that $$r=x$$ when $$y=0$$ doesn't restrict the solution.

 

[gtfitzpatrick]

provided 0<r<$$\infty$$ ?

 

[fzero]

provided 0<r<$$\infty$$ ?

Yes, the initial condition doesn't pick out a value of r, though it does exclude $$r=0$$ for a reason that will probably become apparent when you have the complete solution in hand.

 

[gtfitzpatrick]

cool thank a mill