for what value of n, 1/r² ∂/∂r (r² ∂ u/∂r)= ∂u/∂t is satisfied where u = t^e^-r²/4t.
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If to each pair (x, y) of values of certain parts of the xy-plane, x ∈ IR (: R : the ... wherein (x1, x2, …, xn) are n independent variables and z is the dependent variable. ... Let r2 = x2 + y2 + z2 and V = rm, prove that Vxx + Vyy + Vzz = m(m + 1)rm–
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