Question 827600
Start with the derivative:
{{{dy/dx = n*Ax^(n-1)}}}
The desired equation has a y in it. So we want to transform this so that it has a "Ax^n" in it. We almost have that now. But the exponent is n-1, not n. To change the exponent to what we want we will multiply both sides by x:
{{{x*(dy/dx) = x*(n*Ax^(n-1))}}}
Multiplying the x on the right side times the x^(n-1) we get:
{{{x*(dy/dx) = n*Ax^n}}}
and we have the "y" we were looking for:
{{{x*(dy/dx) = n*y}}}
And we're finished.