| Author |
Comment/Response |
Bill Simpson
|
 01/22/13 10:01pm
Find the general solution
In[1]:= pde=(1/z)D[T[n,z],z]+D[T[n,z],{z,2}]==0;
sol=T[n,z]/.DSolve[pde,T[n,z],{n,z}][[1]]
Out[2]= Log[z]C[1][n]+C[2][n]
Take the general solution, find second derivative, then substitute for z and finally equate to zero
In[3]:= Simplify[(D[sol,{z,2}]/.z->5)==0]
Out[3]= C[1][n]==0
Take that information and substitute back into the general solution to find the particular solution.
In[4]:= sol/.C[1][n]->0
Out[4]= C[2][n]
Substitute the particular solution back into your original PDE to verify it.
In[5]:= (1/z)D[C[2][n],z]+D[C[2][n],{z,2}]==0
Out[5]= True
Please check all this carefully
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