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Substitute y/x = z then separate the variables and integrate.

Base case - First let us consider the base case where n=1. Then the left hand side of the equation becomes 1 and the right hand side is (1/6)12*3=6/6=1. Thus LHS=RHS and we are d...

As is the case with all induction questions, we first need to show that the result is true for the base case, in this case n = 1.If n = 1, we have that the LHS = 6¹ + ...

First convert to mod-arg form in order to use de Moivre's theorem. |1 + i| = (1^2 + 1^2)^1/2 = 2^1/2 arg(z) is the angle made by the vector of the complex number and the positive real axis. I world recomm...

S = e^ix - (1/2)e^3ix + (1/4)e^5ix - … is an infinite geometric series, equal to a/(1 - r). a = e^ix and r = (1/2)e^2ix thus S = e^ix/(1+(1/2)e...