In this classroom note, the authors present a method to solve variable coefficients ordinary differential equations of the form p(x)y([squared])(x) + q(x)y([superscript 1])(x) + r(x)y(x) = 0. They propose an iterative method as an alternate method to solve the above equation. This iterative method is accessible to an undergraduate student studying differential equations as it requires basic knowledge of calculus. They provide examples to justify this claim by solving several cases of the equation around ordinary points and regular singular points. (Contains 3 tables.)