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we can use the subtraction method to find this out:

create a table set out like this

  2⁷  |  2⁶  |  2⁵  |  2⁴  |  2³ ...

Divide through by x so:      (dy/dx) +2(y/x) = 4x

Now multiply through by the intergrating factor:  e^(| (2/x) dx) = e^(2.ln(x)) = x^2

so you get:     (x^2)(dy/dx) + 2xy = 4...

Using the factorisation method.

the factorised solution will look like (x+a)(x+b) = 0

by multiplying these two brackets we get the equation:

x^2 + a.x+b.x + a....

Different factors can shift the supply curve. It must be noted that changes in prices do not shift the supply curve, but causes a movement along the curve. In order to shift the curve, there...