Solve the following second-order equation  xy'' + 2y' = 24x2  by making the substitution u = y'.   I want to know how to get to the solution and that would be helpful. Thank you.

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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.