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The first step is to find the complementary function, yc, which is done by setting up a quadratic based upon the differential equation of the form m^2 + m -2 = 0 (i.e m^2 = d2y/dx2, m = dy/dx, and y is a ...

Finding the matrix of a matrix can be done in 5 steps. Step 1 involves finding the determinant of the matrix, and putting this value aside for later. Step 2 finds the cofactors of each element. The cofact...

The first thought when trying to solve such a problem is that you might be able to write this sum as a geometric progression. Luckily, it is the case here as well, as we can observe that S is the derivati...

To show something is a subgroup we need to show that it satisfies the group axioms. Therefore we need to show that if g and h are in Z(G) then gh is in Z(G), g^-1 is in Z(G), the identity e is in Z(G). As...

Polar coordinates are expressed in the form (r,θ), where r is the distance of the point, P, from the origin, and θ (usually expressed in radians) is the angle between the line joining the point to the ori...