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Find the equivalent first-order system for second order equation

Find the equivalent first-order system (that is, find the matrix A and the vector R of dv/dx = Av + R) for the second order equation: u'' + (x^2)u' + (x^4)u = 1/(1+x^2)

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The equivalent first-order system for a second order equation is found. The solution is detailed and well presented.

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