f(x) = sin(4 ln(x)) is a composition, and so we must use the Chain Rule, given below, to find its derivative. d dx [g(h(x))] = g'(h(x))h'(x) The "inside" function is 4 ln(x) and the "outside" function is f(x) = 1. Solve the differential equation

1/x dy/dx = (yex²) + 2(y) (ex²)

You do not need to solve for y once you get the solution. (Hint: to find the anti-derivative of the y-function make a substitution u = y + 2)