6. For each of the following equations, (i) show that x = 0 is a regular singular point, (ii) find and solve the indicial equation, (iii) determine the recurrence relation, and use the results of (ii) and (iii) to find and the first four on-zero terms of two linearly independent Frobenius solutions. (a) 4x²y" + 2xy' – xy = 0 (b) 2x?y" – xy + (x² + 1)y = 0

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

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.