Question: "How do I solve partial differential equation in Maple?

so...here it is that equation:

du/dt   = d2u/dr2 +  du/r*dr  +  u  +  f(r,t);     r=(0,...,2]; t(0,...,1]

also we have conditions:

u(r,0)=0;

 

u(0,t)=t2;

u(2,t)=0

 

I need to find u(r,t) and to graph it

r and t are cylindric coordinates.

 

f(r,t) is some definite function.

 

 

please help me , how to solve this equation. or may be show something similar to this equation. because I'm beginner in Maple, and don't know that to do...

 

Thanks beforehand

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