Calc 2

Find the solution of the differential equation that satisfies the given initial condition.
dy/dx= x/y, y(0) = −7

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  1. dy/dx = x/y
    y dy = x dx
    y^2 = x^2 + c

    49 = 0 + c
    c = 49

    y^2 - x^2 = 49

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  2. Stave do you mean that the answer would be y=-sqrt(x^2+49)?

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  3. yes.

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