Differential Equations Quiz
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The function y(x)=a0(1−3x2)y(x) = a_0(1-3x^2) is a polynomial solution to Legendre's equation for order 2, (1−x2)y′′−2xy′+6y=0(1-x^2)y'' - 2xy' + 6y = 0. For what value of the constant a0a_0 does this solution satisfy the condition y′(1)=12y'(1)=12?
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