Solving a Simple PDE: Understanding D/Dr and D/Dt

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How do you solve this simple PDE?
D/Dr (f) = D/Dt (f) ?
Pls don't just give me the final answer.
 
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Separation of variables.
 
Not too sure how, can you help?
 
Let f(r,t)=R(r)*T(t), substitute this into your originak equation, take the derivatives and separate the variables(Rs on one side of the equation and Ts on the other).
 

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