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Help in solving PDF equations


Could anybody please help me in solving the following PDF equation?

(p + r/rou)*(1- (Derivative[1, 0][f][x, t])^2 - k * Derivative[0, 1][f][x, t])/Sqrt[1 + (Derivative[1, 0][f][x, t])^2] ==0

with initial or boundary conditions as

f[x, 0] == -1
Derivative[0, 1][f][x, 0] == p/k
Derivative[1, 0][f][R0, t] == 0
f[x, t] == If[0<= x <=1, Sqrt[1 - x^2]]

where, p, k, R0 and rou are constants.

Thanks in advance.

Wei



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