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    Differential Equations : Separation of Variables

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    5. Let y(x) be the solution to the differential equation
    (x2+1)1/2dy - (x/y)dx = 0 satisfying y(31/2) = 3.
    Then [y(81/2)]2 =

    A. 6 B. 8 C. 10
    D. 11 E. 13

    © BrainMass Inc. brainmass.com February 24, 2021, 2:37 pm ad1c9bdddf
    https://brainmass.com/math/calculus-and-analysis/differential-equations-separation-variables-33145

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    Ok, here we can separate the variables to get:

    ydy=xdx/sqrt(1+x^2)

    Now we can integrate the sides:

    The left hand side would be:
    y^2/2

    For the ...

    Solution Summary

    Separation of Variables is used to solve a Differential Equation. The solution is detailed and well presented. The response was given a rating of "5" by the student who originally posted the question.

    $2.19

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