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Show that the substitution z = 1/yinto the differential equationdy/dx+y = xytransforms the differential equationdz/dx...

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Algebra

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Show that the substitution z = 1/yinto the differential equationdy/dx+y = xytransforms the differential equationdz/dx - 2z = -2xHence, find the solution of the differential equation satisfying the conditiony = ?2 when x = 0. Give your answer in the form y = f(x).

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