Use the power series method to find the general solution of the differential equation (x² + 1)y" – xy' +y = 0. Use the power series method to find the general solution of the nonhomogenous equation y" + xy' + y = x² + 2x + 1.

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A: We can answer the question as below.

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.