Find the general solution for $y'' - \frac{6}{x}y' + \frac{10}{x^2}y = 3x^2 + 6x$ given that $y_1 = x^2$ and $y_2 = x^5$ are linearly independent solutions of the corresponding homogeneous equation.
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The characteristic equation for the given homogeneous equation is obtained by substituting y = e^(rx) into the equation and solving for r: r^2 + 36 = 0 Show more…
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