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).
 
Thread 'Direction Fields and Isoclines'

Thread 'Direction Fields and Isoclines'

I sketched the isoclines for $$ m=-1,0,1,2 $$. Since both $$ \frac{dy}{dx} $$ and $$ D_{y} \frac{dy}{dx} $$ are continuous on the square region R defined by $$ -4\leq x \leq 4, -4 \leq y \leq 4 $$ the existence and uniqueness theorem guarantees that if we pick a point in the interior that lies on an isocline there will be a unique differentiable function (solution) passing through that point. I understand that a solution exists but I unsure how to actually sketch it. For example, consider a...
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