What are the methods to solve differential equations with variable coefficients of the following form?

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I know some standard methods to solve ordinary differential equations of the form (mostly series solution methods):

$$\frac{dy^{n}}{dx^{n}}+a_1(x)\frac{d^{n-1}y}{dx^{n-1}}+...+a_{n}(x)y = 0$$

but none for the forms:

$$\frac{dy^{n}}{dx^{n}}+a_1(x)\frac{d^{n-1}y}{dx^{n-1}}+...+a_{n}(x)y = X(x)$$

Is it possible to convert the latter form to the former form? And/or what are the general techniques to solve differential equations of the second type?