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I want to average on ndsolve solution but it is not possible. Could anyone help? Clear["Global`*"] {d = 0.5, a = Pi, aa = 2, bb = 4, b = 2 Pi, l = 5, k = 1}; ic = x@tbegin == 1; W = aa (Sin@(a r/l) + d Sin@(b r/l)) + bb; ...