Consider $x^2y'' - 7xy' + 12y = 0$. Find all values of $r$ such that $y = x^r$ satisfies the differential equation for $x > 0$. Enter as a comma separated list: r = help (numbers) Enter two linearly independent solutions of the form above: y1 = y2 = help (formulas) help (formulas) Now find a solution satisfying the initial values y(1) = 4, y'(1) = 5: y = help (formulas)
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To find the differential equation, we need to differentiate both sides of the equation y = x with respect to x. dy/dx = 1 Show more…
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