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Consider the differential equation dy/dx=-2x/y

Find the particular solution y =f(x) to the given differential equation with the initial condition f(1) = -1

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  1. dy/dx = -2x/y
    y dy = -2x dx
    1/2 y^2 = -x^2 + C
    since y(1) = 1
    -1+C = 1/2
    C = 3/2

    y^2 = -2x^2 + 3

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